Question

Solve for x pls:
Options:
a) -11
b) 80
c) 51
d) -14

Answer 1

x = -11

Explanation:

Let the Triangle be named 'ABC'

In Triangle ABC,

∠A = x + 51

∠B = 80 (Intersecting lines, Vertically opposite Angles)

∠C = 60 (Intersecting lines, Vertically opposite Angles)

∠A + ∠B + ∠C = 180 (Sum of angles of Triangle = 180)

x + 51 + 80 + 60 = 180

=> x + 191 = 180

=> x = 180 - 191

=> x = -11

Answer 2

-11

Explanation:

Sum of all angles of triangle = 180

x + 51 + 80 + 60 = 180

x + 191 = 180

x = 180 -191

x = -11

Hint : VOA - Vertically opposite angles are congruent