Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C.
Can a triangle have two right angles? Justify your answer in case.
Is the following statement true and false :
Sum of the three angles of a triangle is 180 .
In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠B = 65° and ∠C = 33°, find ∠MAN.
The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.
In a triangle ABC, ∠A = 45° and ∠B = 75°, find ∠C.
In a ∆ABC, AB = AC. The value of x is ________
In the following figure, points lying in the interior of the triangle PQR are ______, that in the exterior are ______ and that on the triangle itself are ______.
Identify three triangles in the figure.
How is a vertex of triangle △ABC most accurately defined?
