Question

In a parallelogram ABCD, ,A = (11x + 4)°, B = (5x)°. Then, C – D is equal to

Answer 1

Answer:

in a parallelogram opposite angles are equal so

A=C. and B=D

so C-D=11x+4-5x=6x+4

Answer 2

Given: ∠A = (11x + 4)° and ∠B = (5x)°.

To find: ∠C - ∠D.

Answer:

(Diagram below for reference.)

∠A + ∠B = 180° (Supplementary angles.)

(11x + 4)° + (5x)° = 180°

(16x + 4)° = 180°

16x = 180° - 4°

16x = 176°

x = 176°/16

x = 11°

∴ ∠A = [(11*11) + 4]° = 125° and ∠B = (5*11)° = 55°.

In parallelogram, opposite angles are equal.

∴ ∠A = ∠C = 125° and ∠B = ∠D = 55°.

∠C - ∠D = 125° - 55° = 70°.