Question

Triangle MNO is isosceles. Find the value of y and the measure of Angle O.

Y=______
Angle O=_______degrees​

Answer 1

y = 14

Angle O is 41 degrees

Explanation:

From the question, since we have an isosceles triangle, then the base angles are equal

This means that the angle at M is (4y-15) too

Mathematically, the sum of the angles in a triangle is 180 degrees

Thus;

7y + 4y-15 + 4y-15 = 180

15y-30 = 180

15y = 180+ 30

15y = 210

y = 210/15

y = 14

Angle O is 4y-15

= 4(14) -15 = 56-15 = 41 degrees