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19 votes
Solve for xxx in the diagram below.

Solve for xxx in the diagram below.-example-1
User Peter Fine
by
7.5k points

2 Answers

11 votes

Answer:


\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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User MaurGi
by
7.9k points
9 votes

Answer:

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

User Mfgmicha
by
7.5k points