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3 years ago

Determine m angle F by using the figure

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

Answer:

The measure of angle F is m∠F=130°

Step-by-step explanation:

step 1

Find the measure of angle E

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

DF=EF ----> given problem

Triangle DEF is an isosceles triangle

m∠D=m∠E

we have

m∠D=25°

substitute

m∠E=25°

step 2

Find the measure of angle F

we know that

The sum of the measures of the interior angles in a triangle must be equal to 180 degrees

m∠D+m∠E+m∠F=180°

substitute the values

25°+25°+m∠F=180°

50°+m∠F=180°

m∠F=180°-50°

m∠F=130°

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