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3 years ago

Find the measure of angle F if measure angle D equals 88

Mathematics

2 answers:

dezoksy [38]3 years ago

7 0

The answer is C 52 degrees

Mrrafil [7]3 years ago

7 0

Answer:

F = 52°

Step-by-step explanation:

Let's define the value of the three angles:

D = 88° as indicated by the problem in your approach.

E = (5t)°

But triangle ABC is equal to triangle DEF, since two triangles are equal when they have two equal sides and the angle included, in this case sides AB and BC are equal to sides EF and ED, therefore angles B (40°) and E (5t) are the same. So,

E = 40°

F =?

The sum of the angles of a triangle is 180 °. So,

D + E + F = 180°

F = 180° - D - E = 180° - 88° - 40°

F = 52°

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