Question

HELP? WILL FAN AND MEDAL

Answer 1

Reason it out. What are the measures of the base angles where the apex angle is 90º?

Answer 2

I know it's not 60 or 30.. and it's not a triangle so it's not equal to 180???

Answer 3

PSR is a triangle. What kind of triangle is it? What do we know about it's base angles?

Answer 4

90 + 90 + 90 = 270. Good try, but that's too much. Consider the second piece of "Given" information. PS = RS

Answer 5

I dont understand @tkhunny

Answer 6

A triangle with two congruent sides is called a ________________ triangle.

Answer 7

isosceles

Answer 8

Excellent.

In an isosceles triangle, the angles opposite the congruent sides are ____________.

Answer 9

congruent also?

Answer 10

Perfect.

Triangle PSR is an isosceles triangle. One angle is 90º. The two sides opposite the congruent sides must equal what degree measure?

1) How many degrees in the whole triangle?
2) After removing the 90º angle, how many degrees have we left for the other two angles.
3) If they are congruent, how shall we divide it up?

Answer 11

180, and is 90... then 45?

Answer 12

Right on target. So a = 45º.

Now, what do we know about Triangle PQR?

Answer 13

That one angle is 60?

Answer 14

Look at the given information and treat it like the triangle we just did.

1) 180º
2) 180º - 60º = ??
3) What?

Answer 15

180 - 60 = 120 and dividing that by 2 is also 60? but it's not 60 degrees @tkhunny

Answer 16

What is the measure of Angle PRQ?

Answer 17

60?

Answer 18

That is correct.
What is the measure of angle PRS?

Answer 19

90

Answer 20

No, that's PSR. We need PRS.

Answer 21

45?

Answer 22

That's right.
Angle PRQ Measures 60º
Angle PRS Measuers 45º
What is the measure of Angle SRQ?

Think carefully about Angle Addition.

Answer 23

110?

Answer 24

It's not an addition problem.