measure of angle b=(3x+10) and measure of angle A=x if angle C is a right angle what is the value of x

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30-11-2017
Mathematics

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measure of angle b=(3x+10) and measure of angle A=x if angle C is a right angle what is the value of x

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Cascade Cascade · Answer 1 · 2017-11-30T22:55:16+01:00

Answer: x = 20

Form your equation => <C = 90 because it is a right angle.
(3x + 10) + (x) + 90 = 180
^ ^ ^ ^
<B <A <C All angles (A, B, C) add up to 180 because of the Triangle Sum Theorem.

Solve the equation.
3x + 10 + x + 90 = 180 Combine like terms
4x + 10 + 90 = 180 Combine like terms
4x + 100 = 180 Subtract 100 from both sides
4x = 80 Divide by 4 to both sides
x = 20 Answer!