Question

Find in the following figure : a B (b) 110 ch C Р 100° R R (d) 900 % T le 50° C B​

Answer 1

Step-by-step explanation:

A)  angle c = 40 degrees

angle c = 40 degrees (isosceles triangles)

therefore, 40 + 40 + x= 180

x = 100 degrees

B)  angle b = 70 degrees ( supplementary angles)

x = 70 degrees ( base angles are same in an isosceles triangle)

C) if angle Q is x, then angle R is also x (base angles are same in an isosceles triangle)

angle P = 100 degrees

therefore,

x + x + 100 = 180

2x + 100 = 180

2x = 180 - 100

x = 80/2

x = 40 degrees

D) line RS = ST

therefore, angle T = angle R = x

x + x +90 = 180

2x + 90 = 180

2x = 180 - 90

x = 90/2

x = 45 degrees

E) angle B = angle A = x  ( base angles are same in an isosceles triangle)

therefore,

x + x + 50= 180

2x + 50 = 180

2x = 180 - 50

x = 130/2

x = 65 degrees

hope it helps

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