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tiny-mole [99]
3 years ago
7

Use the information in the figure. If F=116, find E 58 32 116 64

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Step-by-step explanation:

Given that,

  • m∠F = 116°

We have to find the value of m∠E.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→<u> x = 32°</u>

Henceforth,

→ m∠E = x

→ m∠E = 32°

\\

~

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