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?

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) (Show Source): You can put this solution on YOUR website!
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.

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