Q. 54.7( 17 Votes )
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.
Two angles are equal and third angle is greater than each of those angles by 30o.
Let, x, x, x + 30o be the angles of the triangle.
We know that,
Sum of all angles of triangle is 180o
x + x + x + 30o = 180o
3x + 30o = 180o
3x = 180o – 30o
3x = 150o
x = 50o
The angles are:
x = 50o
x = 50o
x + 30o = 50o + 30o
Therefore, the required angles are 50o, 50o, 80o.
Rate this question :
Write the sum of the angles of an obtuse triangle.RD Sharma - Mathematics
Prove that the angles opposite to equal sides of a triangle are equalRS Aggarwal & V Aggarwal - Mathematics
If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed isRD Sharma - Mathematics
In Δ ABC, if ∠A = 100° AD bisects ∠A and AD⊥BC. Then, ∠B =RD Sharma - Mathematics
D is any point on side AC of a ΔABC with AB = AC. Show that CD < BD.NCERT Mathematics Exemplar
In a triangle ABC, if AB = AC and AB is produced to D such that BD = BC, find ∠ACD: ∠ADC.RD Sharma - Mathematics
If the side of a triangle are produced in order, Prove that the sum of the exterior angles so formed is equal to four right angles.
RS Aggarwal & V Aggarwal - Mathematics
ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Prove that ∠D = ∠A.RD Sharma - Mathematics
In Δ ABC, ∠A=50° and BC is produced to a point D. If the bisectors of ∠ABC and ∠ACD meet at E, then ∠E =RD Sharma - Mathematics
Compute the value of x in each of the following figures:
RD Sharma - Mathematics