Solve. [Refer to the attached image.][tex] \: [/tex]1.) If m&ang;2 = 7x + 7, and m&ang;3 = 5x + 41, find x and m&ang;1.[tex] \: [/tex]2.) If m&ang;1 = 4x + 5, and m&ang;2 = 5x – 5, find x and m&ang;3.[tex] \\ [/tex]. Created by jerseynumber11. Math

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August 2022 1 18 Report

Solve. [Refer to the attached image.]
[tex] \: [/tex]
1.) If m∠2 = 7x + 7, and m∠3 = 5x + 41, find x and m∠1.
[tex] \: [/tex]
2.) If m∠1 = 4x + 5, and m∠2 = 5x – 5, find x and m∠3.
[tex] \\ [/tex]

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AGboii

Verified answer

$\large\underline \mathcal{{SOLUTION:}}$

1. ∠2 and ∠3 are Corresponding angles, thus they are congruent or equal in measurement.

$>Equating the angles:<img src=$

Let's Substitute the value of x to get ∠2.

∠2 = 7x+7
∠2 = 7(17)+7
∠2 = 119+7
∠2 = 126

$>We know that ∠1 and ∠2 are same side interior angles , and same side interior angles are supplementary thus , their sum is 180°.<img src=$

$><img src=$

x = 17 and ∠1 = 54°

$><img src=$

We know that ∠1 and ∠2 are same side interior angles , and same side interior angles are supplementary thus , their sum is 180°.

$><img src=$

$>Substitute the value of x to angle 2:<ul><li>∠2 = 4x+5 </li><li>∠2 = 4(20)+7</li><li>∠2 = 80+7</li><li>∠2 = 87</li></ul><img src=$

x = 20 and ∠3 = 87°

xiomariemaysolon thx kuya :)

sajojoshua7 owssss talino

mccastillon05 yeah genuis boi!

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