Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
<em>If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15</em>
Answer:
A)
B) Angle relationship used to find was alternate interior angles of a traversal between two parallel lines
Step-by-step explanation:
Given :
To find measure of .
Part A
From the figure we can say:
[Alternate interior angles are congruent]
∴ [By substitution ∵ ]
For Δ PQR
[Sum of two interior angles of a triangle is equal to the opposite exterior angle]
[By subtraction property of equality]
[By substitution ∵
Part B:
We used the angle relationship of alternate interior angles of traversal between two parallel lines to find measure one angle of the Δ PQR which in turn helped us to find the measure of other angle of triangle which is as the two angles found are opposite to the exterior angle that is =120°
Relation used:
[Alternate interior angles are congruent]
[By substitution ∵ ]
Answer:
Step-by-step explanation:
I should know, I've done this.
Answer:
i believe the answer would be c!
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Its right bro trust me