Question

The angle of a triangle are (2x - 7) , ( x + 25 ) and ( 3x + 12). Find the measure of the angle

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{The angle of a triangle are}$

$\mathsf{2x-7^{\circ},\;x+25^{\circ},\;3x+12^{\circ}}$

$\underline{\textsf{To find:}}$

$\textsf{Measure of the angles}$

$\underline{\textsf{Solution:}}$

$\textsf{We  know that}$

$\textsf{"Sum of all the angles of a triangle is}\,\mathsf{180^{\circ}"}$

$\implies\mathsf{(2x-7)+(x+25)+(3x+12)=180^{\circ}}$

$\implies\mathsf{6x+30^{\circ}=180^{\circ}}$

$\implies\mathsf{6x=180^{\circ}-30^{\circ}}$

$\implies\mathsf{6x=150^{\circ}}$

$\implies\mathsf{x=\dfrac{150^{\circ}}{6}}$

$\implies\mathsf{x=25^{\circ}}$

$\textsf{Now}$

$\mathsf{2x-7^{\circ}=2(25^{\circ})-7^{\circ}=43^{\circ}}$

$\mathsf{x+25^{\circ}=25^{\circ}+25^{\circ}=50^{\circ}}$

$\mathsf{3x+12^{\circ}=3(25^{\circ})+12^{\circ}=87^{\circ}}$

$\underline{\textsf{Answer:}}$

$\textsf{The angles of the triangle are}$

$\mathsf{43^{\circ},\,50^{\circ},\,87^{\circ}}$

Find more:

in a triangle ABC the measure of angle A is 40 degrees less than the measure of angle B and 50 degrees less than that of angle C. find the measure of angle A

https://brainly.in/question/2274359

Answer 2

Step-by-step explanation:

Sum of all angles= 180°

(2x-7)+ (x+25)°+ (3x+12)°=180°

2x+1x+3x - 7+25+12

6x+30=180

6x=180-30

6x=150

x=150/6=25

First angle=2x-7=2x25-7

=50-7

=43°