Plz help Angles RetaIf p || q, m/1=56+23, and mZ11=26+10, find m/2, m/4, m/10, and m/1256783/49/1011/12m/2 =m/4=m/10 =m/12 =

Answered: m/1= 5b+23, 1/2 3/4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.1: Rectangular Coordinate Systems

Problem 16E

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Angles Reta
If p || q, m/1=56+23, and mZ11=26+10, find m/2, m/4, m/10, and m/12
56
78
3/4
9/10
11/12
m/2 =
m/4=
m/10 =
m/12 =

Expert Solution

Step 1

The given $∠ 1 = 5 b + 23 ., ∠ 11 = 2 b + 10 .$

$∠ 11 = ∠ 3$ (Corresponding angle)

$∠ 1 + ∠ 3 = 180 °$ (supplementary angle)

$5 b + 23 + 2 b + 10 = 180 7 b + 33 = 180 7 b = 147 b = 21 .$

$\begin{array}{rcl} ∠ 1 & = & 5 (21) + 23 \\ = & 128 ° \end{array}$

$\begin{array}{rcl} ∠ 11 & = & 2 (21) + 10 \\ = & 52 ° . \end{array}$

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