In the given figure, find the measure of ∠ACE. – InterviewSolution

1.

In the given figure, find the measure of ∠ACE.

Answer»

In ∆ACE

∠A + ∠C + ∠E = 180°

(by angle sum property of a triangle)

⇒ 31° + 75° + ∠E = 180°

⇒ ∠E = 180° – 106°

⇒ ∠E = 74°

Discussion

No Comment Found

Related InterviewSolutions

Each exterior angle of a regular polygon is 45°. Find the number of sides in the polygon.
The number of sides in a regular polygon is n. Then measure of each interior angle is:(A) 360/n degree(B) (2n - 4)/n right angle(C) n right angle(D) 2n right angle
Examine, if it is possible to have a regular polygon whose each interior angle is 110°.
The measure of an interior angle of a regular pentagon is:(A) 72°(B) 108°(C) 118°(D) 540°
The sum of all the interior angles of a hexagon is:(A) 5 right angles(B) 6 right angles(C) 8 right angles(D) 12 right angles
Each interior angle of a regular polygon measures 135°, then the polygon is:(A) a parallelogram(B) a hexagon(C) an octagon(D) a decagon
One of the exterior angle of a triangle is 105° and its two opposite interior angles are equal, then each of the equal angle is:(A) 37(1/2)°(B) 52(1/2)°(C) 72(1/2)°(D) 75°
Can there exist a regular polygon whose interior angle is 137°?
In ΔABC, ∠A = 2∠B and 2∠C = ∠A + ∠B. Find the angles.
The sum of two angles is 123° and their difference is 13°. Find all the angles of the triangle.