Question

1. find the measure of each angle indicated.

10)

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. Let's assume the two triangles are intersecting in a way that we can use angle - relationships. In a triangle, the sum of interior angles is 180°.

Step2: For the first set of triangles (question 9)

Let the unknown angle in the first triangle be \(x\). Since vertical angles are equal, we can set up an equation based on the angle - sum property of a triangle. If we assume the vertical - angle relationship, we know that the angles in a triangle add up to 180°. Let the given angles be \(30^{\circ}\) and \(50^{\circ}\). Then \(x=180-(30 + 50)=100^{\circ}\).

Step3: For the second set of triangles (question 10)

Let the unknown angle be \(y\). Given two angles \(40^{\circ}\) and \(60^{\circ}\) in a triangle - related setup. Using the angle - sum property of a triangle (\(180^{\circ}\) for the sum of interior angles), \(y = 180-(40+60)=80^{\circ}\)

Answer:

For question 9: \(100^{\circ}\)
For question 10: \(80^{\circ}\)