Question

Calculate each numbered angle measure.

Answer 1

m1 = 90°

m2 = 68°

m3 = 112°

m4 = 112°

m5 = 68°

m6 = 44°

m7 = 112°

m8 = 112°

Concept used:

- The sum of the internal angles of a triangle is 180

- With two parallel line and one oblique, the angles internal and opposite are congruent (ex: m3 and m4)

- An isosceles triangle has the base angles congruent

Explanation:

m1 is a rectangle angle

m2 is 180-m1-22

m3 is 180-m2

m5 is 180-m4

m6 is 180-m5-m5

m3 = m4 = m7 = m8

Answer 2

The values are: m1 = 90°: m2 = 68°: m3 = 112°: m4 = 112°: m5 = 68°: m6 = 44°: m7 = 112°: m8 = 112°.

The total of a triangle's internal angles is 180.

The internal and opposing angles of two parallel lines and one oblique line are equivalent (ex: m3 and m4).

The base angles of an isosceles triangle are equivalent.

Explanation in detail:

The angle m1 is a rectangle.

m2 is 180-m1-22

m3 is 180-m2

m5 is 180-m4

m6 is 180-m5-m5

m3 = m4 = m7 = m8