Verified answer

Step-by-step explanation:

GIVEN : x=y

angle RPA = 50°

TO FIND : Angle R and angle A

SOLUTION : By angle sum property of a triangle

We know that all sum of all angles of a triangle is 180°

therefore,

Angle P + x +y = 180°

therefore, from given, we replace y by x in the equation.

P + x + x = 180 °

P + 2x = 180 °

50° + 2x = 180°

2x = 130°

x = 65°--------------(1)

similarly,

x = y ---------------- given

therefore,

y = 65°--------------(2)

Therefore angle R is 65° and angle A is also 65°

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