Question

When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle ABC$ .

Answer 1

<ABC = 49°

Explanation:

The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;

3x+4+8x+11 = 180

11x+15= 180

11x = 180-15

11x = 165

x = 165/11

x = 15

From the attached diagram, <ABC = 3x+4

<ABC = 3(15)+4

<ABC = 45+4

<ABC = 49°