Question

In a ΔABC, if ∠A=∠B+∠C, what is the measure of ∠A
pls answer fast. i will give 100 points

Answer 1

Let all the angles be x.

∠A=

2

x

,∠B=

3

x

,∠C=

6

x

So,

2

x

+

3

x

+

6

x

=180° [sum of all the angles of triangle is 180°]

12

6x+4x+2x

=180°

12

12x

=180°

x=180°

∠A=

2

x

=

2

180°

=90°

∠B=

2

x

=

3

180°

=60°

∠C=

6

x

=

6

180°

=30°