Answer:
m∠RPQ = 8°
Step-by-step explanation:
m∠QRS = 4x - 15
m∠RPQ = x + 1
m∠PQR = x - 2
m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS
m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}
4x - 15 = x +1 + x - 2
4x - 15 = x + x + 1-2 {Combine like terms}
4x - 15 = 2x - 1 {Subtract 2x from both sides}
4x - 2x - 15 = - 1
2x - 15 = - 1 {Add 15 to both sides}
2x = -1 + 15
2x = 14 {Divide both sides by 2}
x = 14/2
x = 7
m∠RPQ = x + 1 = 7 + 1 = 8°
Answer:
See explanation
Step-by-step explanation:
The triangles below are congruent and their corresponding parts are marked.
a) Angles marked with one arc are congruent, so 
Angles marked with two arcs are congruent, so 
Angles marked with three arcs are congruent, so 
b) Sides marked with one segment are congruent, so 
Sides marked with two segments are congruent, so 
Sides marked with three segments are congruent, so 
c) Name teo congruent triangle following the congruence of angles:

1) acknowledge the rule that anything that’s outside of the bracket applies to EVERYTHING inside of the bracket
2)apply the rule: (A-6)^2
X=10 Y=1.25; X=8 Y=1; X=6 Y=0.75; X=4 Y=0.5