Question

The two triangles are similar with triangle MNO tilde triangle PQR space with angle M equals 22 degree and angle O equals 75 degree.

Find the measures of m angle P, m angle Q, and m angle R.

Enter your numerical answers in the boxes. Assume the triangles are drawn accurately.

Answer 1

Answer: I believe angle Q would equal 83 degrees.

Explanation:

If you add up the angles of any triangle, they always add up to 180°. So, if both of the triangles are similar, then they will have the same angles take 180° And subtract your two known angles and you would get
83°. Hope this sort of helps.

Answer 2

• m∡P = 22°
• m∡Q= 83°
• m∡R= 75°

Explanation:

Given:

`\tt \triangle MNO \sim \triangle PQR`

If they are similar triangles, their corresponding angles should be equal. as

∡M = ∡P = 22°

∡N=∡Q

∡O = ∡R=75°

Now,

In ΔMNO

∡M+∡N+∡O=180° Since the sum of the interior angle of a triangle is equal to 180°

Substituting value:

22+∡N+75=180

solving for ∡N

∡N=180-22-75

∡N=83°

Therefore,

∡N=∡Q =83°