Question

PLEASE PLEASE HELP, I DON'T GET IT!!

Quickly please and thank you!!
Mr. Jefferson is building a seesaw for the playground using the diagram shown. (see picture) In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle.

What is m1?

A. 50º
B. 65º
C. 115º
D. 130º

Answer 1

A 50

Explanation:

Answer 2

The correct answer is A. 50°

Why?

We can find the angle using the opposite angles theorem. When two are lines are crossed, there are four angles formed between them, and the opposites angles will be always equal.

Now, since the seesaw board is parallel to the ground, we can deduct (applying the opposite angles theorem) that both angles formed at the base of the triangle are equal to 65°.

Also, we must remember that the sum of the three interior angles of a triangle will be always equal to 180°, so:

`m_(1)=180\°-(65+65)=50°`

We have that the angle is equal to 50°.

Have a nice day!