Question

In triangle ABC, angle A =angle C and angle B=angle A+ angle C. Find the angles a
of triangle

Answer 1

Answer:

Angle A=45°,AngleB=90° and AngleC=45°

Step-by-step explanation:

Let for assumption the angles be a,b and c.

1. Now,from first condition,a=c
2. Also,from second condition,b=a+c but we know from first condition that a=c so put tgis in second condition,we get, b=2a
3. Now we know,sum of all angles of a triangle is 180°.
4. So,a+b+c=180°
5. Now put c=a and b=2a from first and second condition
6. So,4a=180° which means a=45°
7. by putting a=45° in first and second condition, we get b=90° and c=45°

Answer 2

Answer:

Angle A=45°,AngleB=90° and AngleC=45°

Step-by-step explanation:

Let for assumption the angles be a,b and C.

1. Now,from first condition,a=c

2. Also,from second condition,b=a+c but we know from first condition that a=c so put tgis in second condition,we get, b=2a

3. Now we know,sum of all angles of a triangle is 180°.

4. So,a+b+c=180°

5. Now put c=a and b=2a from first and second condition

6. So,4a-180° which means a=45° 7. by putting a=45° in first and second

condition, we get b=90° and c=45°