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Nat2105 [25]
3 years ago
9

In the figure, △ABC is similar to △DEF. what is m∠1

Mathematics
1 answer:
Nady [450]3 years ago
7 0

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

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