CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Angle Sum Property for Triangles

Triangle are ...

Question

Triangle are in ratio 4 ratio 5 is sum of two angle equal third angle find angles

Open in App

Solution

Let the Triangle be ABC
Given: ∠A= 4x ; ∠B= 56x ; ∠C= ∠A+∠B
∠C= 4x+5x= 9x
By Angle Sum Property
∠A+∠B+∠C= 180°
4x+5x+9x= 180°
18x= 180°
x= 180/18= 10°
∵ ∠A= 4x= 4(10)= 40°
∠B= 5x= 5(10)= 50°
∠C= 9x= 9(10)= 90°

Suggest Corrections

thumbs-up

29

Similar questions

Two angles of a triangle are in the ratio $4 : 5$ . If the sum of these angles is equal to the third angle, find the angles of the triangle.

Q. Two angles of a triangle are

54^{o}

72^{o}

. Find the ratio of third angle to the sum of first two angles.

Q. Two angles of a triangle are in the ratio 2/5 : 3/5 and the third angle is 80⁰. find the measurement of all the angles of the triangle.

Q. Find the angles of Right angled triangle if the other two angles are in ratio

4 : 5

Q. One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is

4 : 5

, find the angles of the triangle.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Angle Sum Property for Triangles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Angle Sum Property for Triangles

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon