SOLUTION: Triangle QAD is an isosceles triangle with angle D as the vertex angle. if measure of angle Q is 7x-2 and measure of angle A is 4x+16, find the measure of each angle.

Question 1016882: Triangle QAD is an isosceles triangle with angle D as the vertex angle. if measure of angle Q is 7x-2 and measure of angle A is 4x+16, find the measure of each angle.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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Base angles of an isosceles triangle are equal.
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Angle Q = Angle A
7x-2=4x+16
3x-2=16
3x=18
x=6
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Angle Q=Angle A=7x-2=7(6)-2=42-2=40
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Angle D=180 degrees-Angle Q-Angle A
Angle D=180-40-40
Angle D=100 degrees
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ANSWER: Angles A and Q each measure 40 degrees
and Angle D measures 100 degrees.

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