# ZA and ZB are complementary angles. If m_A = (6x – 4)º and m ZB = (x + 17)°, then find the measure of ZA.

2 answers

###### Question:

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

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

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

## Answers

[tex]\\ \sf\longmapsto 6x-4+x+17=90[/tex][tex]\\ \sf\longmapsto 7x+13=90[/tex][tex]\\ \sf\longmapsto 7x=90-13=77[/tex][tex]\\ \sf\longmapsto x=11[/tex]

Answer:[tex]62 \degree[/tex]Step-by-step explanation:Complementary Angles are added up to 90°Therefore,[tex]6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11[/tex]So,[tex]ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree[/tex]Hope this helps you.Let me know if you have any other questions :-)

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