Question

Angle z is 21 degrees larger than twice the measure of angle T. If z and t are supplementry, what is the measure of angle t

Answer 1

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Answer:

53°

Explanation:

The sum of an angle and its supplement is 180°. Angle Z is (2T+21). Then the sum of angle T and angle Z is ...

T + (2T +21) = 180

3T +21 = 180 . . . . simplify

T +7 = 60 . . . . . . divide by 3

T = 53 . . . . . . . . subtract 7

The measure of angle T is 53°.