Question

2.Use the diagram below. Circle the true statements based on the given diagram.

3.Use the diagram below. Circle the angle pairs that are supplementary to each other.
4.Triangle HIJ has ∠I = 17° and ∠H = 84°. Find m∠ J.
5.An isosceles triangle has a base angle of 24°. Find the measure of the apex angle.

Answer 1

Explanation:

2.

angle B is congruent to angle B'.

side BC is congruent to side B'C'.

3.

angle pairs 1 and 3, 2 and 3, 5 and 7 are supplementary (together they have 180°).

4.

please burn this into your brain for all times : the sum of all angles in a triangle is always (yes, always) 180°.

so,

angle J + 17 + 84 = 180

angle J = 180 - 17 - 84 = 79°

5.

and here we use it again.

isoceles means that the triangle has 2 equally long legs. that makes also both base angles equally large.

apex angle + 24 + 24 = 180

apex angle = 180 - 24 - 24 = 132°