Question

The interior angles of a triangle are (2x -3)° , (3x-8)° and (4x-7)°. Find the measure of the triangle. Name the type of the triangle.​

Answer 1

Answer:

measure of the triangle =    33°,  46° , 65° .

ACUTE ANGLED TRIANGLE

Step-by-step explanation:

SUM OF ALL INTERIOR ANGLES OF A TRIANGLE = 180°

(2x -3)° + (3x-8)° + (4x-7)° = 180°

(9x-18)° = 180°

9x°   = 180°-18°

x°  = $\frac{162}{9}$

x = 18°

(2x -3)°= [2(18)-3]° = 33°

(3x-8)° = [3(18)-8]° = 46°

(4x-7)°  = [ 4 (18)-7] °  = 65°

ALL ANGLE ARE LESSER THAN 90

THEN, IT IS AN ACUTE ANGLED TRIANGLE