Question

Find the value of x and find all the angles of the triangles shown below:
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Answer 1

Step-by-step explanation:

Exterior angle = Sum of opposite interior angles

From the diagram,

x+50= 3x+10+5x-9

x+50=8x+1

x=7

<PRQ= 3x+10 = 31°

<PQR= 5x-9 = 26°

<RPQ = 180-31-26= 123 (Sum of all angles of a triangle = 180°)

Exterior angle (P)= 31+26 = 57°