SOLUTION: find angle T if angle T is 20 more than four times its supplement

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Question 155314This question is from textbook
: find angle T if angle T is 20 more than four times its supplement This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Let T & U be supplement angles=180degrees
so, angle%28U%29=%28x%29deg
angle%28T%29=20%2B4x--> to satisfy the condition:20 more 4 times the supplement
Therefore:
T%2BU=180
20%2B4x%2Bx=180
5x=180-20
5x=160 ----> cross%285%29x%2Fcross%285%29=cross%28160%2932%2Fcross%285%29
x=32degress-------------------------> angle U
20%2B4%2832%29=20%2B128=148degrees ---------> angle T
The sum: 32%2B148=180deg, supplementary angles
thank you,
Jojo