In the figure PQ=QR angle QPR =48 degree angle SRP = 18 degree then find angle PQR
Answers
Answer:
Here triangle PQR is isosceles.
angle QPR= QRP= 48
By angle sum property:
P+Q+R= 180. THESE ARE ANGLE
48+Q+48=180
Q= 180-96
Q= 84°
Step-by-step explanation:
hope help u
Given,
PQ = QR
∠QPR = 48°
∠SRP = 18°
To find,
We have to find ∠PQR.
Solution,
The measure of ∠PQR in Δ PQR is 84°.
We can simply find the measure of ∠PQR by using the properties of the triangle.
It is given that PQ = QR, then ∠R = ∠P
as Equal sides of a triangle have equal opposite angles.
∠QPR = ∠QRP = 48°
By using the Angle sum property in Δ PQR, we get,
∠P + ∠Q + ∠R = 180°
48° + ∠Q + 48° = 180°
∠Q = 180° - 48° - 48°
∠Q = 180° - 96°
∠Q = 84°
Hence, the measure of ∠PQR in Δ PQR is 84°.