SOLUTION: if angle A is a right angle and the measure of angle C=3x and measure of angle ABC=2x, find the measure of each interior angle and what is the value of x?

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Question 151166This question is from textbook
: if angle A is a right angle and the measure of angle C=3x and measure of angle ABC=2x, find the measure of each interior angle and what is the value of x? This question is from textbook

Answer by orca(409) About Me  (Show Source):
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Use the fact that the sum of the interior angles of any triangle is equal to 180 degrees to set up an equation
Here, < A=90, < B=2x and < C=3x,their sum is 90+2x+3x.
Setting it equal to 180,we have
90+2x+3x=180
Solving for x,we obtain:
90 + 5x = 180
5x = 90
x = 18
therefore
< B= 2x = 2*18 = 36 degrees
< C = 3x = 3*18 = 54 degrees.