Question

in the given figure find the measure of angle trq and angle prt​

Answer 1

measure of angle trq

180°

angle prt

115°

Right Answer

Answer 2

Question

In the given figure find the measure of ∠TRQ and ∠PRT

Answer

Value of ∠TRQ = 180° and ∠PRT = 115°

Given

• ∠P = 60°
• ∠Q = 55°

To Calculate

• ∠TRQ and ∠PRT

Solution

In △PQR

➞ ∠P + ∠Q + ∠R = 180° [ Angle Sum Property ]

➞ 60° + 55° + ∠R = 180°

➞ ∠R + 115° = 180°

➞ ∠R = 180° - 115°

➞ ∠R = 65°

We know that,

Exterior Angle = Sum of Interior opp. Angles

∠PRT = ∠P + ∠Q

∠PRT = 60° + 55°

∠PRT = 115°

∠TRQ = ∠PRT + ∠PRQ

∠TRQ = 115° + 65°

∠TRQ = 180°

Additionally✏

• Angle Sum Property of triangle is 180°

• Angle Sum Property of quadrilateral is 360°

• Sum of angles in a straight line is 180°

• Linear Pair = 180°