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Find the measures of the following angles

publish date: 2023/05/24 21:26:00 GMT+10

Refer to the figure where ∠EBS ≅ ∠FEB

(1) 52

(2) 142

∠EBS ≅ ∠CBQ because they are vertical angles, then m(∠EBS) = 38^o
m(∠FEB) = 38^o because ∠EBS ≅ ∠FEB, then their measures are equal
Since m(∠FEB) + m(∠TEF) + m(∠AET) = 180^o
- 38^o + 90^o + m(∠AET) = 180^o
- Then m(∠AET) = 180^o - 90^o - 38^o = 52^o
m(∠AEF) = m(∠AET) + m(∠TEF) = 52^o + 90^o = 142^o

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