Question

Find the unknown lettered angle.

Please answer it. Only who know...​

Answer 1

vii) Angle sum property of a triangle states that all interior angles of a triangle sum up to 180°.

We know, 90+2x+3x = 180 [Angle Sum Property]

=>

90+5x = 180

5x = 180-90

5x = 90

x = 90/5

x = 18

Unknown angles are 2x and 3x,i.e.

2×18 = 36°

3×18 = 54°

viii) Exterior angle property of a triangle states that the exterior angle is equal to the sum of interior opposite angles.

We know, 95 = x+(2x-10) [Exterior Angle Property]

=>

95 = 3x-10

95+10 = 3x

105 = 3x

x = 105/3

x = 35

Unknown angles are x and 2x-10,i.e.

x = 35°

2x-10 = 2×35-10 = 60°

Hope it helps.