Answer: B) m∠TPS = m∠RPQ
Step-by-step explanation:
Given that ΔPQR is similar to ΔPTS
We know that of two triangles are similar then their corresponding angles are equal in measure and corresponding sides are proportional.
Therefore, If ΔPQR is similar to ΔPTS, then
m∠TPS=m∠RPQ
m∠STP=m∠RQP
m∠PTS=m∠PQR
Therefore, from the given options, only B is the right options, i.e. m∠TPS = m∠RPQ
<u>Answer:</u>
The correct answer option is B. 72°.
<u>Step-by-step explanation:</u>
A polygon is said to be a regular polygon when all its sides and angles are equal.
So a regular pentagon coincides with its pre-image when it is rotated at an angle of 72°.
When rotated at an angle of 72°, a regular pentagon produces the same pentagon regardless of being rotated clockwise or anticlockwise.
Therefore, option B is the right choice.
Answer:
x=100
Step-by-step explanation:
2x + 100 = 300
-100 -100
---------------------
2x = 200
---- -----
2 2
x=100