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3 years ago

Can anyone help me with this?

Mathematics

1 answer:

Zina [86]3 years ago

6 0

Answer:

b = 15°

Step-by-step explanation:

The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:

2c +60 = 180

2c = 120

c = 60 . . . . . . degrees; the base angle of ΔQPR

Likewise, the base angle (∠SRP) of ΔSPR is ...

a = (180 -90)/2 = 45 . . . . . degrees

The measure of angle b is the difference between the larger and smaller base angles:

b = c -a = 60° -45°

b = 15°

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