In the figure above, EB, AD, and CF intersect at point A, and EB is
perpendicular to AD. What is the value of
(x+y)/2

A. 75
B. 90
C. 120
D. 150

In the figure above, EB, AD, and CF

intersect at point A, and EB is
perpendicular to AD. What is

Solved

Show answers

Ответ:

rustjallison9928

17.01.2021

Mathematics

$\large{ \tt{☄ANSWERS \: + \: REASONS}} :$

$\large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}$ $\large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}$

$\: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}$

$\large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}$ $\large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}$ $\large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}$ $\large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}$ $\large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}$

$\large{ \tt{✺ \: TIPS} }:$

If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪

$\large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} :$

ツ Hope I helped! ♡

☼ Have a wonderful day / evening ! ☃

# StayInAndExplore ! ☂

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In the figure above, EB, AD, and CF intersect at point A, and EB is perpendicular to AD. What is the value of (x+y)/2 A. 75 B. 90 C. 120 D. 150