Question

(6x – 30° and m

ZA and ZB are supplementary angles. If mZA
ZB (82 +28)º, then find the measure of ZA.

Answer 1

9514 1404 393

Answer:

48°

Explanation:

Supplementary angles total 180°.

m∠A +m∠B = 180°

(6x -30)° +(8x +28)° = 180°

14x = 182 . . . . . . . . . . . . . . . . divide by ° and add 2

x = 13 . . . . . . . . . . . . . . . . . . . .divide by 14

Then the measure of angle A is ...

m∠A = (6·13 -30)° = 6(13 -5)° = 6·8°

m∠A = 48°