Question

Help ASAP find the values of x and y

Answer 1

x=48

y=70

Explanation:

Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums

1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.

An isosceles triangle has 2 sides equal and 2 angles equal.

2) With the explanation above --> x+7=55

3) Subtract 7 from both sides and you will get x=48

4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.

5) 110 degrees + y degrees = 180

6) subtract 110 from both sides and y would equal 70.

Hope you understood and have a nice day!! :D

Answer 2

x = 48° and y = 70°

Explanation:

As it is an isosceles triangle so base angles of isosceles triangle are equal

x +7° = 55°

x = 55° - 7°

Therefore x = 48°

Now

x + 7 = (48 + 7)°= 55°

Calculating the value of y as sum of angles of triangle is equal to 180°

y + 55° + 55° = 180°

y + 110° = 180°

y = 180° - 110°

Y = 70°

Hope it will help :)