Question

In a triangle ABC , A = 2 angle B = 3 angle
C . find each angle of the triangle.
(i). In angle ABC , angle A = 2X + 15° , 2B = 3X-5 and angle C= 4x+ 35°. find each angles of the triangle.
(ii. In ABC , angle A = x+15°, angle B = x and angle C = 2x-35 . find each angles of the triangle and then assingn a special name to the triangle.​

Answer 1

Answer:

1. angle A+Angle B+angle C=180°

2x+15+3x-5+4x+35=180°

9x+45=180

9x=180-45

9x=135

x=15

angle a=2×15+15

= 45°

angle b=3×15-5

=40°

angle c=4×15+35

=95°

2.

x+15+x+2x-35=180 (angle sum property of )

x+15+3x-35=180

4x+20=180

4x=180-20

x=160/4

x=40

angle A=x+15

A=40+15

A=55°

angle B=x

B=40°

angle C=2x-35

C=80-35

C=45°

special name to the Δ is scalene Δ

Step-by-step explanation: