Question

In triangle LMN, measure of angle L
is (3π/4) radian and LN = 30°. Find the measure of angle M.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

In a triangle LMN, the measure of angle M is 15°

Step-by-step explanation:

We have a triangle LMN, where

∠L = $\frac{3\pi }{4}$ and ∠N = 30°

and we need find the measure of angle M

Step 1 of 2

First, we need to convert the measure of angle L from radian into a degree which can be done

$\frac{3\pi }{4}$×$\frac{180}{\pi }$ = 135°

⇒∠L=135°

Step 2 of 2

Now we have two angle of triangle and we need to calculate the third angle which can be calculated by angle sum property of triangle as

∠L+∠M+∠N = 180°

⇒135°+∠M+30°=180°

⇒∠M = 15°

Hence the measure of angle M is 15°