The sum of the measures of the angles of all triangles is 180°. If one angle of the triangle measures 45°, and the other two angles are equal, what is the measure of each of the…

Question

asked Feb 12, 2021 231k views

1 Answer

Martin Mendez · Answer 1 · 2021-02-19T05:26:03+0000

Answer:

$\alpha = 67.5$

Explanation:

Represent the first angle with
$\theta$

$\theta = 45$

Represent the equal angles with
$\alpha$

So:

$\alpha + \alpha + \theta = 180$

Substitute 45 for
$\theta$

$\alpha + \alpha + 45 = 180$

Subtract 45 from both sides

$\alpha + \alpha + 45 - 45= 180 - 45$

$\alpha + \alpha = 135$

$2\alpha = 135$

Divide both sides by 2

$\alpha = 135/2$

$\alpha = 67.5$

Hence:

The measure of the other angles is 67.5