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Question

Angle A and B are supplementary. If angle A=x? and angle B=(x-10)?. Find the measure of both angles

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Solution

Dear Student,

Angle A = x⁰
Angle B = ( x - 10 )⁰

Given, Angle A and Angle B are supplementary angles.
So,
x⁰ + ( x - 10 )⁰ = 180⁰
=> 2x⁰ - 10⁰ = 180⁰
=> 2x⁰ = 190⁰
=> x⁰ = 95⁰

Therefore,
Angle A = 95⁰
Angle B = 85⁰

Regards,

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