Question

Use the figure to find the measures of the numbered angles.

∠1 = ∘

∠2 = ∘

∠3 = ∘

∠4 = ∘

∠5 = ∘

∠6 = ∘

Answer 1

Physiological (1 point)
The processes and functions of the body
The processes of the mind
Social needs, social behaviors, and social problems
Otraits that increase the possibility of developing an illness or disease

Answer 2

∠1 = ∠2 + ∠8
∠2 = ∠8
∠3 = ∠5
∠4 = ∠3 + ∠7
∠5 = ∠3
∠6 = ∠2 + ∠8

To find the measures of the numbered angles in the given figure, let's use the properties of parallel lines and transversals.

∠1: This is an exterior angle formed by line t and line a. Exterior angles formed by a transversal and parallel lines are equal to the sum of the opposite interior angles. In this case, angle 1 is equal to the sum of angles 2 and 8.

∠2: This is an interior angle formed by line t and line a. Since line t bisects line a, angle 2 is equal to angle 8.

∠3: This is an interior angle formed by line t and line b. Since line t bisects line b, angle 3 is equal to angle 5.

∠4: This is an exterior angle formed by line t and line b. Exterior angles formed by a transversal and parallel lines are equal to the sum of the opposite interior angles. In this case, angle 4 is equal to the sum of angles 3 and 7.

∠5: This is an interior angle formed by line t and line b. Since line t bisects line b, angle 5 is equal to angle 3.

∠6: This is an exterior angle formed by line t and line a. Exterior angles formed by a transversal and parallel lines are equal to the sum of the opposite interior angles. In this case, angle 6 is equal to the sum of angles 2 and 8.