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5 votes
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Write and solve an equation to find the value of x and a missing angle in the triangle below.

Write and solve an equation to find the value of x and a missing angle in the triangle-example-1
User Driton
by
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1 Answer

25 votes
25 votes

Answer:

x = 27°, ∠JLK = 55°

Explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

User John Sensebe
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2.8k points