In the given figure∆PQR,side PQ and PR are produced to form the exterior angles as marked. Find the measure of the angles x,y and z.
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figure∆PQR,side PQ and PR are produced to form the exterior angles as marked. Find the measure of the angles x,y and z.
Answered by
1
Question:-
In the given figure triangle PQR side PQ and PR are produced to form the exterior angles as marked. Find the measure of the angles x, y and z.
Answer:-
In the given figure PR is a straight line.
So, 130° + z = 180°
→ z = 180° - 130°
→ z = 50°
We know angle of sum property is 180°
So, P + Q + R = 180°
→ 30° + y + 50° = 180°
→ 80° + y = 180°
→ y = 180° - 80°
→ y = 100°
In the given figure PT is a straight line.
So, 100° + x = 180°
→ x = 180° - 100°
→ x = 80°
So the measure of angle x is 80 degree y is 100 degree there is 50 degree
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