Advertisements
Advertisements
Question
In the given figure, find the values of a, b and c.
Solution
In figure, ∠A + ∠B + ∠C = 180° ......[Sum of all angles of a triangle is 180°]
⇒ 90° + a + 70° = 180° ......[∵ ∠A = 90° and ∠C = 70°, from the figure]
⇒ a + 160° = 180°
⇒ a = 180° – 160° = 20°
Since, c is an exterior angle of ΔABD.
∴ ∠c = a + 30° = 20° + 30° = 50 ......[∵ Exterior angles = Sum of opposite interior angles]
Also, b is an exterior angle of ΔADC
∴ ∠b = 60° + 70° = 130° ......[∵ Exterior angles = Sum of opposite interior angles]
APPEARS IN
RELATED QUESTIONS
In the given figure, if PQ ⊥ PS, PQ || SR, ∠SQR = 28º and ∠QRT = 65º, then find the values of x and y.
Find the value of the unknown x and y in the following diagram:
In the following triangle, find the value of x
In the following triangle, find the value of x
Two line segments `bar("AD")` and `bar("BC")` intersect at O. Joining `bar("AB")` and `bar("DC")` we get two triangles, ∆AOB and ∆DOC as shown in the figure. Find the ∠A and ∠B
In the following figure, ∠Q > ∠R, PA is the bisector of ∠QPR and PM ⊥ QR. Prove that ∠APM = `1/2` (∠Q – ∠R).
In a right-angled triangle, the angles other than the right angle are ______.
In triangle XYZ, the measure of angle X is 30° greater than the measure of angle Y and angle Z is a right angle. Find the measure of ∠Y.
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 values of x, y and z.
