Question

Solve for xxx in the diagram below.

Answer 1

`\boxed{\sf x=20^o}`

Explanation:

The two angles are complementary, which means they add up to 90°.

`\boxed{\sf x^o+(3x+10^o)=90^o}`

Solving for x:-

`\sf x^o+3x+10^o=90^o`

`\sf 4x+10=90`

`\sf 4x=80`

`\sf \cfrac{4x}{4} =\cfrac{80}{4}`

`\boxed{\sf x=20^o}` ← Answer

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Answer 2

X = 20

Explanation:

collect like terms

4x + 10

we know a right angle is 90°

4x + 10 = 90

subtract 10 from both sides

4x = 80

divide both sides by 4 for x

x = 20