Question

Can anyone help me with this?

Answer 1

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

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

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

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

  b = c -a = 60° -45°

  b = 15°