Question

A figure is shown.

8x
7x
44.4°
What is the measure, in degrees, of the highlighted angle?

Answer 1

72.32degrees

x is 9.04

Explanation:

7×9.04=63.28

8×9.04=72.32

44.4+63.28+72.32=180

Answer 2

We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,

`\tt\to Sum_((angles \ of \ a \ straight \ line))= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =(135.6^o)/(15)\\\\\tt\to \boxed{\orange{\tt x = 9.04^(\circ) \approx 9^(\circ) }}`

So the measure of angle that is highlighted will be 8x = 8(9) = 72°