Question

Triangles 1 and 2 have the angle measures

as shown.
Triangle 1
Triangle 2

1430 186 820
82°
550
Which statement is correct about triangle 1
and triangle 2?

Answer 1

C

Explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.