Question

ZA and B are supplementary angles. If mA = (7x + 7)° and m

LB = (4x 14)°, then find the measure of ZB.
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Answer 1

∠B = 54 °

Explanation:

If sum of two angles add up to 180°, then the two angles are called supplementary.

m∠A + m ∠B = 180°

7x + 7 + 4x - 14 = 180

7x + 4x + 7 - 14 = 180

11x - 7 = 180

11x = 180 + 7

11x = 187

x = 187 ÷ 11

`\sf \boxed{x = 17^\circ}`

m∠B = 4x - 14

= 4*17 - 14

= 68 - 14

`\sf \boxed{\bf \angle B = 54^\circ}`