Advertisements
Advertisements
प्रश्न
In the given figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135º and ∠PQT = 110º, find ∠PRQ.
उत्तर
It is given that,
∠SPR = 135º and ∠PQT = 110º
∠SPR + ∠QPR = 180º (Linear pair angles)
⇒ 135º + ∠QPR = 180º
⇒ ∠QPR = 45º
Also, ∠PQT + ∠PQR = 180º (Linear pair angles)
⇒ 110º + ∠PQR = 180º
⇒ ∠PQR = 70º
As the sum of all interior angles of a triangle is 180º, therefore, for ΔPQR,
∠QPR + ∠PQR + ∠PRQ = 180º
⇒ 45º + 70º + ∠PRQ = 180º
⇒ ∠PRQ = 180º − 115º
⇒ ∠PRQ = 65º
APPEARS IN
संबंधित प्रश्न
In the given figure, ∠X = 62º, ∠XYZ = 54º. If YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of ΔXYZ, find ∠OZY and ∠YOZ.
Find the value of the unknown x and y in the following diagram:
Find the value of the unknown x and y in the following diagram:
Observe the figure and find the value of ∠A + ∠N + ∠G + ∠L + ∠E + ∠S
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is ______.
Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.
If two triangles are congruent, then the corresponding angles are equal.
In the given figure, find the values of a, b and c
In ∆ABC, DE || BC (see figure). Find the values of x, y and z.
In ΔDEF, ∠D = 60°, ∠E = 70° and the bisectors of ∠E and ∠F meet at O. Find (i) ∠F (i) ∠EOF.
