Answer:
m∠RPS = 38°.
Step-by-step explanation:
It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.
Now, it is clear that
Therefore, the measure of angle RPS is 38°.
Answer:
Step-by-step explanation:
<u><em>The question is </em></u>
Find the measure of the legs
we know that
In a 45 degrees -45 degrees -90 degrees triangle, the measure of the legs are equal
Let
a ----> the measure of one leg
Applying the Pythagorean Theorem
solve for a
Divide by 2 both sides
Simplify
X would be 196. All you have to do is divide 5/7 one each side of the equation and you would get x = 196. I hope this helped and make sure to make this the brainliest answer :)
For the proof here kindly check the attachment.
We are given that. Also, the transversal is shown. Let us take the first case, that of and . Please note that all other proofs will follow in a similar manner.
Let us begin, please have a nice look at the diagram. We will see that and are vertically opposite angles. We know that vertically opposite angles are congruent. Thus, and are congruent angles.
=
Now, we know that and are alternate interior angles. We also, know that alternate interior angles are equal too. Thus, we have:
=
From the above arguments it is clear that:
= = .
Thus, =
We have proven the first instance. Please note that all other instances can be proved in a similar fashion.
For example, for and we can take and as vertically opposite angles thus making = . Now, and are alternate interior angles and thus and are equal. Thus, we have and .