The measures of the angles of a triangle are in the extended ratio 5:6:7. What is the measure of the largest angle?A. 10 degreesB. 50 degreesC. 60 degreesD. 70 degreesthank you …

Question

asked Feb 25, 2023 138k views

1 Answer

SharpLu · Answer 1 · 2023-03-03T15:30:24+0000

Given:

The measures of the angles of a triangle are in the extended ratio 5:6:7.

Required:

We need to find the largest angle.

Step-by-step explanation:

The measure of angles are 5x, 6x, and 7x.

We know that the sum of all three angles is 180 degrees.

$5x+6x+7x=180\degree$
$18x=180\degree$

Divide both sides by 18.

$(18x)/(18)=(180\degree)/(18)$
$x=10\degree$

The largest angle is 7x since 7 is larger than 5 anf 6.

$7x=7*10=70\degree$

The largest angle is 70 degrees,

Final answer:

The measure of the largest angle is 70 degrees,