Question

Q) In angle MNK, if angle M + angle N = 125º and angle M + angle K =113º, then find angle M angle N and angle K.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer :

The angle ∠M - 58°

The angle ∠K - 67°

The angle ∠K - 55°

Step-by-step explanation :

Given :

In angle MNK,

◾Angle M + angle N = 125º

◾Angle M + angle K = 113º

To Find :

The measure of angle M angle N and angle K.

Solution :

As per your Question,

⇒ ∠M  + ∠K = 113°

⇒ ∠M + ∠N = 125°

We know that :

The sum of the angles of a triangle is 180°

So,

⇒ ∠M + ∠N + ∠K = 180°

⇒ ∠M + ∠N = 125°

Now,

∠ K = 55°

_______________

⇒ ∠M + ∠K = 113°

⇒ ∠M + 55° = 113°

⇒ ∠M = 113° - 55°

⇒ M = 58°

_______________

⇒ ∠M + ∠N = 125°

⇒ 58° + ∠N = 125°

⇒ ∠N = 125° - 58°

⇒ ∠N = 67°

Therefore,

The angle ∠M - 58°

The angle ∠K - 67°

The angle ∠K - 55°

$\rule{300}{1.5}$

★ Points to Remember -

◾The base angles of an Isosceles triangle are Same, Equal.

◾The sum of the angles of a triangle is 180°

★ Pythagorean theorem -

◾The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

◾We can write it as -

$\boxed{\sf H^2 = P^2 + B^2}}$