Mr. Jefferson is building a seesaw for the playground using the diagram shown. In the diagram, the seesaw board is parallel to g
1 answer:
The angle m1 will be equal to 50°. The correct answer is option A.
The complete question is as below:-
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
<h3>What is trigonometry?</h3>Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
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 opposite 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:
m1 = 180 - ( 65 + 65 0
m1 = 50°
Therefore the angle m1 will be equal to 50°. The correct answer is option A.
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