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luda_lava [24]
3 years ago
13

What are the values of​ x, y, and​ z?

Mathematics
1 answer:
hoa [83]3 years ago
6 0
<h3><u>To find value of x</u></h3>

<u>Formula applied:</u>

Exterior angle=Sum of interior angles

Answer:

  • x=66⁰+45⁰

  • x=<u>1</u><u>1</u><u>1</u><u>⁰</u><u>✔</u>
<h3 />

<h3><u>To find value of z:</u></h3>

<u>Formula applied:</u>

Exterior angle=Sum of interior angles

Answer:

  • 119⁰=43⁰+z⁰

  • 119⁰-43⁰=z⁰

  • z⁰=<u>76</u><u>⁰</u><u>✔</u>

<h3><u>To find value of y:</u></h3>

  • ∠1+66⁰=180⁰(L.P)

  • ∠1=180⁰-66⁰

  • ∠1=114⁰

<u>Formula</u><u> </u><u>used:</u>

Sum of angles of a triangle =180⁰

Answer:

  • ∠ 1+30⁰+y⁰=180⁰

  • 114⁰+30⁰+y⁰=180⁰

  • y⁰=180⁰-144⁰

  • y⁰=<u>36⁰</u><u>✔</u>

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