Advertisements
Advertisements
Question
In the given figure, if ST = SU, then find the values of x and y.
Solution
Given, ST = SU
∴ ∠SUT = ∠STU = y ......[∵ Angles opposite to equal sides are equal]
Also, ∠1 = 78° ......[Vertically opposite angles]
In ΔSUT, 78° + y + y = 180° ......[Angle sum property of a triangle]
⇒ 78° + 2y = 180°
⇒ 2y = 180° – 78° = 102°
⇒ y = `102^circ/2` = 51°
Also, x + y = 180° ......[Linear pair]
⇒ x + 51° = 180°
⇒ x = 180° – 51°
⇒ x = 129°
APPEARS IN
RELATED QUESTIONS
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:
In the given figure find m∠P.
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following figure, DE || QR and AP and BP are bisectors of ∠EAB and ∠RBA, respectively. Find ∠APB.
The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.
In a triangle ABC, the measure of angle A is 40° less than the measure of angle B and 50° less than that of angle C. Find the measure of ∠A.
In the given figure, find the measures of ∠PON and ∠NPO.
The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.
