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What is the value of x?

What is the value of x?-example-1
User Ridalgo
by
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1 Answer

4 votes

Answer:

85°

Explanation:

The triangle pictured is an isosceles triangle because side KJ = LJ.

this means that ∠JKL = ∠JLK = x°

Also recall that all interior angles of a triangle add up to 180°

Hence,

180° = ∠JKL + ∠JLK + ∠KJL

180 = x + x + 10

180 = 2x + 10 (subtract 10 from both sides and rearrange)

2x = 180 - 10

2x = 170 (divide both sides by 2)

x = 170 / 2 = 85°