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43 votes
43 votes
Solve w/ work shown please!!!

Solve w/ work shown please!!!-example-1
User Natasha Thapa
by
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1 Answer

15 votes
15 votes

Answer:

70°

Explanation:

This triangle is an isosceles triangle because two sides are marked that they are the same. So the "base angles" are also the same. Angle D and Angle F are equal to each other (the angles are congruent and the measures are equal).

All the angles in a triangle add up to 180° We know the one marked angle is 40°. Let Angle D be x and so Angle F is also x.

x + x + 40 = 180

combine like terms

2x + 40 = 180

subtract 40

2x = 140

divide by 2

x = 70

Angle D is 70°

User Hossein A
by
2.6k points