Question

Calculate the value of the largest angle in the triangle above.

• A. $120$ degrees
• B. $115$ degrees
• C. $110$ degrees
• D. $105$ degrees

Answer 1

Answer: (D)

$105$ degrees

Given angles are $2x,7x,3x$

Applying angle sum property give us

$3x+7x+2x=12x={180}^0$

$x={15}^0$

Hence, the angles are $2\times {15}^o={30}^o,7\times {15}^o={105}^0,3\times {15}^o={45}^o$

$\therefore$ the measure of angles are ${30}^0,{45}^0,{105}^0$.

The largest angle is ${105}^0$.