Question

Can someone PLEASE answer this ill give Brainliest if u answer

Answer 1

x = 7.5° and y = 75°

Solution:

ΔMNO is equilateral triangle.

Each angle in equilateral triangle is 60°.

⇒ m∠MNO = 60°

⇒ 2x° + 4x° + 2x° = 60°

⇒ 8x° = 60°

Divide by 8 on both sides.

⇒ x° = 7.5°

In the 2 triangles which contain NM , NO and angles 2x° , 2x°

MN = ON ⇒ equilateral triangle

∵ 2x° = 2x° = 15°

m∠M = m∠O = 60° ⇒ equilateral triangle

∴ The two triangles are congruent.

The third angles in the two triangles are equal and their measure is

180 – (60 + 15) = 105°

105 + y° = 180 ⇒ straight angle

y° = 180 – 105 = 75°

y° = 75°

Hence x = 7.5° and y = 75°.