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Mathematics
9. Triangle and Its Angles
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Q1 of 69 Page 9

If all the three angles of a triangle are equal, then each one of them is equal to

Let,

A, B and C be the angles of


A = B = C (Given)


We know that,


∠A + ∠B + ∠C = 180o


∠A + ∠A + ∠A = 180o


3∠A = 180o


∠A = 60o


Therefore,


∠A = ∠B = ∠C = 60o


Thus, each angle is equal to 60o.

More from this chapter

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12

In Fig. 9.41, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find a and y.

13

In Fig. 9.42, side BC of Δ ABC is produced to point D such that bisectors of ∠ABC and ∠ACD meet at a point E. If ∠BAC = 68°, find ∠BEC.

2

If two acute angles of a right triangle are equal, then each is equal to

3

An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal, each of these angles is equal to

Questions · 69
9. Triangle and Its Angles
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