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Natalija [7]
3 years ago
13

Geometry help will give brainliest solve empty ones

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0
H = 72°

k = 18°

m = 54

The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.

So, the equation used to find angle m is 2x = 108.

n = 62°

I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.

Then, angles r and p form a linear pair so they are equal to 180°.

Knowing that r = 108°, p must be 72°.

Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.

In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.

18 + 72 + x = 180

90 + x = 180

x = 90

So, the measure of angle L is 90°.
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