Question

Please help with those two?

Answer 1

First question:

When you bisect an angle, you create two new equal angles, both measuring half of the original angle. So, if the original angle was 52°, the two angles will be 52/2=26 degrees each.

Note: the picture is not very clear, and I'm not sure the original angle is 52°. It it's not, just divide by 2 whatever measure the angle is.

Second question:

Focus on triangles RQP and RSP:

• They are both right, because Q and S are right angles
• We are given QP=SP
• They share the side RP

So, they are congruent. This implies that angle SRP is 50° as well, and then

QRS = QRP+SRP = 50°+50°=100°