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?

x =

Step-by-step explanation:

From Δ MPL given that; <P = , exterior angle to M = and <L = .

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

= +

      = + 4 +

= +

⇒      4 = -

        4  =

Divided both sides by 4 to have;

=

The value of x is .

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