Question

please help me!!!!!!!

Answer 1

Answer:

• See below

Step-by-step explanation:

#14

Given:

• m∠QPT = 42° and PR is its angle bisector

Angles QPR and TPR both are:

• 42/2 = 21°

Verify if the remaining angles are same.

• m∠PQR = 180° - 21° - 58° = 101°

This is not same as ∠PTS:

• 101° ≠ 102°

This makes ∠PST ≠ ∠PRQ

Since corresponding angles are different, the triangles are not similar

#16

Given two right triangles.

Verify the corresponding sides have same ratio.

Find the ratio of longer legs:

• LN/MN = 15/27 = 5/9

Find JN:

• JN = √(JM² - MN²) = √(30.6² - 27²) = √207.36 = 14.4

Find the ratio of shorter legs:

• LN/JN = 8/14.4 = 80/144 = 5/9

The triangles are similar by SAS since we have two sides similar and included angle is same (right angle)