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I have y but I don't understand how to get x.

I Have Y But I Dont Understand How To Get X class=

Sagot :

ANSWER

x = 30 degrees and y = 5

EXPLANATION

The figure is made up of two triangles: one is equilateral and the other is isoceles.

The equilateral triangle is:

It is equilateral because the three angles are equal. This means that the three sides are of equal length as well.

So:

8y = 40

Divide through by 8:

y = 40 / 8

y = 5

The second triangle is given below. Let us label it as such:

The angle So, we have that:

Since the triangle is isoceles, it means that two sets of angles are equal (and two sets of sides are equal):

The sum of angles in a triangle is 180 degrees, so:

x + x + 120 = 180

2x = 180 - 120 = 60

Divide through by 2:

x = 60 / 2

x = 30 degrees

So, x = 30 degrees and y = 5

View image XinyueY113823
View image XinyueY113823
View image XinyueY113823