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5 votes
Find X using the picture of the triangles below.

Find X using the picture of the triangles below.-example-1
User Derekcohen
by
8.7k points

2 Answers

6 votes

this is just a quick addition to the superb reply above by "jimrgrant1"

Check the picture below.

Find X using the picture of the triangles below.-example-1
User Andrew Macheret
by
7.8k points
5 votes

Answer:

x = 37.5

Explanation:

the top triangle has 2 congruent sides and is therefore isosceles with base angles being congruent, then

base angles = (180 - 75) ÷ 2 = 105 ÷ 2 = 52.5

the angle on the left of the outer triangle is right , then

x + 52.5 = 90 ( subtract 52.5 from both sides )

x = 37.5

User Daniel Witurna
by
9.0k points