1 Answer

Ahmet Zeybek · Answer 1 · 2021-09-27T21:03:18+0000

Answer:

$m\angle 2=33^\circ$

Explanation:

Right Triangle

The figure shows a right triangle with angles 2 and 3 unknown.

The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

$m\angle 2+m\angle 3=90^\circ$

The measures of both angles are expressed as functions of x. Substituting their values:

x+8 + 2x + 7 = 90

Simplifying:

3x + 15 = 90

Operating:

3x = 90 - 15 = 75

Solving:

x = 75 / 3 = 25

x = 25°

Now, the measure of angle 2=x+8 = 33°

$\boxed{m\angle 2=33^\circ}$

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