Question

angle measure and sum
reset
drag a vertex of the triangle to change its shape.
double - click or double - tap a vertex or side to prevent
it from changing.
create a right triangle, in which a is the right angle, and ( mangle c ) is
approximately ( 60^{circ} ).
what is the approximate measure of ( angle b )?
( mangle b=)
what is the sum of ( mangle a ), ( mangle b ), and ( mangle c )?
90
180
270
360

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). For a right triangle, one angle (\(\angle A\)) is \(90^\circ\), \(\angle C \approx 60^\circ\).

Step2: Calculate \(m\angle B\)

Using the angle - sum property: \(m\angle A + m\angle B+m\angle C=180^\circ\). Since \(m\angle A = 90^\circ\) and \(m\angle C\approx60^\circ\), then \(m\angle B=180^\circ - 90^\circ- 60^\circ = 30^\circ\).

Step3: Determine the sum of angles

By the triangle angle - sum theorem, the sum of the interior angles of a triangle is always \(180^\circ\), so \(m\angle A + m\angle B + m\angle C = 180^\circ\).

Answer:

For \(m\angle B\), the approximate measure is \(30^\circ\). For the sum of \(m\angle A\), \(m\angle B\), and \(m\angle C\), the sum is \(180^\circ\).