What are the values of a and b

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Answer:
A= 73 degrees
B= 34 degrees

Explanation:
Through the diagram, it is given that QP is a straight line. By supplementary angles(meaning in straight lines of 180 degrees, the angles must add to 180), angle a plus 107 degrees must equal 180 degrees. So:
a+107=180
a= 73
Next, angles RQP and RPQ are congruent because of the sides are congruent, the angles must be congruent. All angles of a triangle must equal 180 degrees. Given the previous, 2a+b=180. Plug a in and solve for b:
2(73)+b=180
146+b=180
b= 34
In conclusion, A= 73 degrees and B=34

** please check my math as I do not have a calculator with me lol

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