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Goshia [24]
3 years ago
10

Calculate the value of X

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

x=\frac{133}{3}^o

Step-by-step explanation:

The <u><em>Triangle external angle theorem</em></u> states that :An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see

see the attached figure with letter to better understand the problem

step 1

Find the measure of the interior angle  at B

we know that

m\angle B+2x=180^o ----> by supplementary angles (form a linear pair)

m\angle B=180^o-2x

step 2

Find the value of x

Applying the triangle external angle theorem

86^o+(180-2x)^o=4x^o

solve for x

86^o+(180-2x)^o=4x^o

4x+2x=266\\6x=266

x=\frac{266}{6}^o

simplify

x=\frac{133}{3}^o

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