Question

This is my last quiz question, Please help <3

Triangle PQR has two known interior angles of 24°, and 100°.
Triangle RST has two known interior angles of 24°, and 56°.
What can be determined about whether trianglesPQR and RST are similar?
Similarity cannot be determined from the given information.
The triangles are similar.
The triangles are not similar.
All interior angles must be given to determine similarity.

Answer 1

The measures of the angles of a triangle add up to 180 degrees.
This is true of all triangles.


You have two given angles of triangle PQR.
They are 24 degree and 100 degree.
What do those measures add up to?


What is 100 + 24? = 124



When you add the measure of the third angle to 124, you must get 180.
To find the measure of the third angle, just do 180 - 124.
What do you get?




180 - 124 = 56
That means the third angle of triangle PQR measures 56 deg.
Now we know the measures of all three angles of triangle PQR: 24, 100, 56.
Triangle RST has two angles that measure 24 deg. and 56 deg.
Since two angles of triangle PQR are congruent to two angles of triangle RST, the triangles are similar.