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Unit 4 Homework 2 Gina Wilson all things algebra,

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Unit 4: Congruent Triangles Homework 2: Angles of Triangles

Date:

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Directions: Find all missing angles:

152

115

mâ‚

mâ‚

MZâ‚ =

mzâ‚ =

mâ‚ = mâ‚‚ = mâ‚ƒ =

mâ‚‚ =

118

mâ‚ƒ

mZâ‚ mâ‚‚ = mâ‚ƒ = mâ‚„ = mâ‚… = mZâ‚† = mâ‚‡

MZI = mâ‚â‚‚ = mâ‚‚â‚ƒ mâ‚Zâ‚„ mâ‚… =

Directions: Find the value of 1

(31 – 5)Â²

(10T – 41)Â²

471 – 5)Â²

(3T + 1)Â²

10.

11.

(11-1)Â²

(4 -13)Â²

(201 – 3)Â²

(41 + 13)Â²

(61 + 2)Â²

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04:42

In Problems $53-56,$ find the length of each side of the triangle determined by the three points $P_{1}, P_{2},$ and $P_{3} .$ State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.).$$P_{1}=(-1,4) ; \quad P_{2}=(6,2) ; \quad P_{3}=(4,-5)$$

02:08

Algebra State the theorem or postulate that is related to the measures of the angles in each pair. Then find the angle measures.$$\mathrm{m} \angle 4=(37 x-15)^{\circ}, \mathrm{m} \angle 5=(44 x-29)^{\circ}$$

04:26

In Problems $53-56,$ find the length of each side of the triangle determined by the three points $P_{1}, P_{2},$ and $P_{3} .$ State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)$$P_{1}=(2,1) ; \quad P_{2}=(-4,1) ; \quad P_{3}=(-4,-3)$$

02:28

Algebra State the theorem or postulate that is related to the measures of the angles in each pair. Then find the angle measures.$$m \angle 3=(23 x+11)^{\circ}, m \angle 4=(14 x+21)^{\circ}$$

Transcript

How to find all of the missing angles. So for number one um how I saw this is 180 because all triangles equal 180 degrees minus 76 minus 59 equals 45 degrees. So the measurement of angle One is 45° for number two. what you would do is the two interior angles equal the exterior angle or adjacent interior angles equal the exterior angle. So 62 plus 67 Equal 129 Degrees for # three. The two opposite um adjacent interior angles when you add them together equal the exterior angle. So in this situation because I’m giving an exterior angle and an interior angle you would take 152 minus 1 15. And the measurement of angle one is 37 degrees four. Number four the first angle I would find is angle um Number two, Angle two. And this angle are vertical angles so they both equal each other. And now that I know that angle two is 42 degrees um I know that I would find angle number one. So um all three angles when you add them together equal 180 degrees. So I would say 1 80 minus 40 to minus 50 is 88. And then to find the measurement of angle three again, all three angles of a triangle into all three interior angles of a triangle when you add them together equal 180 degrees. So I would do 1 80 minus 40 to minus 25 that’s 1 13 For the next one. The first angle that I would find is angle measure number one um there are two angles that lie on a straight line, they equal 180°. So I would do 180 -118 which is 62. Then what I would do next is I would find the measurement of angle to I know that three angles interior angles, when you add them together they equal 180 degrees of a triangle. So um I would do 1 80 minus 60 to minus 73 equals 45 degrees for number three. What I first did is I said all right angle This angle that 73° in that angle equal 180°. So I found the measurement of this angle here Which is 107°. Then I said okay if this is 100 and seven degrees then I know that these three angles when you add them together equal 180 degrees. So that’s how I got 26 degrees as the answer four, number six. The first angle that I would find is the measurement of angle five because I know that these three angles or lie on a straight line, all straight lines, 180 degrees. So 1 80 minus 50 to minus 47 is 81. Then the next angle that I would find is the measurement of angle three. These um this angle and this angle there opposite um interior angles. So angle…

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