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Find the value of X in the circle

Find the value of X in the circle-example-1
User Sallf
by
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2 Answers

4 votes

x would be 7 units because 4 × 7 = 28 And 28 + 10 = 38

User Kevin Wheeler
by
4.8k points
5 votes

Answer:

x=7 units

Explanation:

see the attached figure with letters to better understand the problem

we know that

The triangles AMN and APQ are congruent by SAS similarity postulate

The include angle

∠MAN=∠PAQ

Because

Arc MN=Arc PQ

therefore

MN=PQ

substitute the values

38=4x+10

solve for x

4x=38-10

4x=28

x=7 units

Find the value of X in the circle-example-1
User Mohamed Salah
by
5.4k points