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Help with finding the lettered angles please!

Help with finding the lettered angles please!-example-1
User Sourya Dey
by
5.2k points

1 Answer

0 votes

Answer:

i = 77.5°

k = 77.5°

j = 102.5°

h = 155°

Explanation:

Since we have an isosceles triangle, we know that ∠i and ∠k are equal. So,

180 - 25 = 2x

155 = 2x

x = 77.5

So m∠i = m∠k = 77.5°

To find m∠j, we use Supplementary Angles:

180 - 77.5 = 102.5°

To find m∠h, we also use Supplementary Angles:

180 - 25 = 155°

User Jeff Breadner
by
4.5k points