Question

I need help with the following angles question...

Answer 1

I think number 7 is 90?

Answer 2

right

Answer 3

because \[\overline{PQ} \perp \overline{QR}\]
so it's 90

Answer 4

what about #8

any ideas?

Answer 5

i know that i have to somehow add all three of the given measurements together.

Answer 6

right. you're close. you need to do that to find x

Answer 7

according to angle sum theorem \[\angle PQR = \angle PQT + \angle TQS + \angle SQR\]
so...
\[90 = 2x - 5 + 4x + 5 + 3x\]
do you get what happened?

Answer 8

Yeah

Answer 9

good. so now solve for x

Answer 10

10?

Answer 11

right

Answer 12

now.
\[\angle TQR = \angle TQS + \angle SQR\]
so...
\[\angle TQR = 4x + 5 + 3x\]
substitute 10 for x here then simplify

Answer 13

75?

Answer 14

right

Answer 15

can you do the third one now?

Answer 16

or do you still need help?

Answer 17

I'm ok thanks :)