Answer :

Answer:

60

Step-by-step explanation:

Angle L = 90

Angle M = ( x + 15 )

Angle N = ( 3x + 15 )

Here,

Angles M and L are interior angles.

Angle N is the interior angle.

Formula : -

Exterior angle = Sum of two interior angles

3x + 15 = x + 15 + 90

3x - x = 15 - 15 + 90

2x = 90

x = 90 / 2

x = 45

Angle M = Angle LMN

= x + 15

= 45 + 15

= 60

Answer:

∠ LMN = 60°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(3x + 15) is an exterior angle of the triangle , then

3x + 15 = x + 15 + 90

3x + 15 = x + 105 ( subtract x from both sides )

2x + 15 = 105 ( subtract 15 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Then

∠ LMN = x + 15 = 45 + 15 = 60°

Other Questions