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Find angle 4 lowkey lost ​

Find angle 4 lowkey lost ​-example-1
User Dennys
by
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1 Answer

2 votes

Answer: 38°

Explanation:

∠1 and m∠62° are congruent as this is an isosceles triangle.

∠1 = 62°

∠2 + ∠1 + m∠62° = 180° because they form a triangle

∠2 + 62 + 62 = 180

∠2 + 124 = 180

Subtract both sides by 124

∠2 = 56°

∠2 and ∠3 are linear pairs so they're supplementary.

∠3 + ∠2 = 180°

∠3 + 56 = 180

Subtract both sides by 54

∠3 = 124°

∠4 + m∠18° + ∠3 = 180° because they form a triangle

∠4 + 18 + 124 = 180

∠4 + 142 = 180

Subtract both sides by 142

∠4 = 38°

Hope this helped!

User Kuldeep Kapade
by
4.9k points