Question

ZA and ZB are complementary angles. If m_A = (6x – 4)º and m

ZB = (x + 17)°, then find the measure of ZA.

Answer 1

`\\ \sf\longmapsto 6x-4+x+17=90`

`\\ \sf\longmapsto 7x+13=90`

`\\ \sf\longmapsto 7x=90-13=77`

`\\ \sf\longmapsto x=11`

Answer 2

`62 \degree`

Explanation:

Complementary Angles are added up to 90°

Therefore,

`6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ (7x)/(7) = (77)/(7) \\ x = 11`

So,

`ZA = 6x - 4 \\ = 6 * 11 - 4 \\ = 66 - 4 \\ = 62 \degree`

Hope this helps you.

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