Advertisements
Advertisements
प्रश्न
Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle.
Advertisements
उत्तर
Given that,
Two angles are equal and the third angle is greater than each of those angles `by 30^@` Let x, x, x+30 be the angles of a triangle
We know that
Sum of all angles of a triangle is `180^@`
`x+x+x+30=180^@`
`3x+30=180^@`
`3x=180^@-30^@`
`3x=150^@`
`x=150^@/3`
`x=50^@`
∴ The angles are x,x,x+30
`x=50^@`
`x+30=80^@`
∴ The required angles are `50^@,50^@, 80^@`
APPEARS IN
संबंधित प्रश्न
ABC is a triangle in which ∠A — 72°, the internal bisectors of angles B and C meet in O.
Find the magnitude of ∠BOC.
Can a triangle have All angles more than 60°? Justify your answer in case.
The exterior angles, obtained on producing the base of a triangle both way are 104° and 136°. Find all the angles of the triangle.
Compute the value of x in the following figure:
In a triangle ABC, ∠A = 45° and ∠B = 75°, find ∠C.
In a triangle PQR, ∠P = 60° and ∠Q = ∠R, find ∠R.
Calculate the angles of a triangle if they are in the ratio 4: 5: 6.
Classify the following triangle according to sides:
The number of angles in the following figure is ______.
The number of triangles in the following figure is ______.
