Question

find the measure of angle C from the given figure.
A. 105
B. 80
C. 85
D. 95​

Answer 1

Answer:

D. 95

Step-by-step explanation:

=> x+20+x-5+x+10+x-5 = 360 (Angle sum property)

=> 4x+20 = 360

=> 4x = 360-20

=> 4x = 340

=> x = 340/4

=> x = 85

Angle C = x+10

              = 85+10

              = 95

Answer 2

Answer:-

Given:-

• ∠A = x - 5°
• ∠B = x - 5°
• ∠C = x + 10°
• ∠D = x + 20°

To Find:-

Measurement of ∠C.

___________...

We know,

Sum of interior angles of a Quadrilateral = 360°

According to the Question:-

∠A + ∠B + ∠C + ∠D = 360°

⟹ 2(x - 5°) + (x + 10°) + (x + 20°) = 360°

⟹ 2x - 10° + x + 10° + x + 20° = 360°

⟹ 4x + 20° = 360°

⟹ 4x = 360° - 20°

⟹ 4x = 340°

⟹ x = 340°/4 = 85°

So, value of x = 85°.

Putting the value of expression given (of ∠C) :-

x + 10°

= 85° + 10°

= 95° (Answer)

∴ (D) ☑ Is the actual 'uttar'.