Question

Find x, y and z HELPSS mathh

Answer 1

`\boxed{\sf y=37^o}`

`\boxed{\sf x=74^o}`

`\boxed{\sf z=25^o}`

Explanation:

Let's first solve for y:-

*Linear pairs are supplementary angles, meaning there sum should be 180° *

`\sf 2y^o+106^o=180^o`

`\sf 2y=180-106`

`\sf \cfrac{2y}{2} =\cfrac{74}{2}`

`\boxed{\sf y=37^o}`

*Consecutive angles are also supplementary angles = 180°*

`\sf x=2y`

`\sf x=2(37)`

`\boxed{\sf x=74^o}`

By corresponding angles,

`\sf 4z+6=106`

`\sf 4z+6-6=106-6`

`\sf \cfrac{4z}{4} =\cfrac{100}{4}`

`\boxed{\sf z=25^o}`

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Hope this helps!

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