Question

Examine the diagram. Triangle M P L. Angle P is 90 degrees and angle L is (4 x + 6) degrees. The exterior angle to angle M is 136 degrees. What is the value of x?

Answer 1

Answer:

x = $10^{0}$

Step-by-step explanation:

From Δ MPL given that; <P = $90^{0}$, exterior angle to M = $136^{0}$ and <L = $(4x+6)^{0}$.

In the triangle, the exterior angle is equal to the sum of the two adjacent interior angles. So that;

$136^{0}$ = $90^{0}$ + $(4x+6)^{0}$

      = $90^{0}$ + 4$x^{0}$ + $6^{0}$

$136^{0}$ = $96^{0}$ + $x^{0}$

⇒      4$x^{0}$ = $136^{0}$ - $96^{0}$

        4$x^{0}$  = $40^{0}$

Divided both sides by 4 to have;

$x^{0}$ = $10^{0}$

The value of x is $10^{0}$.

Answer 2

the answer is 112