In a triangle PQR if angle QPR=80 degree and PQ=
PR then find angle R and angle Q
Answers
Answered by
101
Given, QPR is 80 degrees
and PQ=PR
let the other two angles be x,x because it is an isosceles triangle
by triangle sum property
80+x+x=180
2x+80=180
2x=100
x=50
therefore angle R and angle Q are 50 degrees
and PQ=PR
let the other two angles be x,x because it is an isosceles triangle
by triangle sum property
80+x+x=180
2x+80=180
2x=100
x=50
therefore angle R and angle Q are 50 degrees
Answered by
11
Given - Angle QPR
Find - Angle R and Angle Q
Solution - As per the given information, the triangle is isosceles triangle. So, angle R and Angle Q will be same. Let these angles be x.
x + x + 80 = 180
Performing addition
2x + 80 = 180
Shifting 80 to Right Hand Side
2x = 180 - 80
Performing subtraction
2x = 100
Shifting 2 to Right Hand Side
x = 100/2
Performing division
x = 50°
So, the angle R and Angle Q is 50°.
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