Question

1. be able to apply the exterior angle theorem. solve for x and give the measurement of the interior angles.

1. be able to apply the triangle sum theorem. find the measurement of <t.

Explanation:

Apply the Exterior Angle Theorem to set up the equation

Using the Exterior Angle Theorem knowledge point

$$ (6x - 9) = (2x + 14) + (3x + 2) $$

Solve the linear equation for x

Using the Exterior Angle Theorem knowledge point

$$
LATEXBLOCK0
$$

Calculate the measurements of the interior angles

Using the Exterior Angle Theorem knowledge point

$$
LATEXBLOCK1
$$

Apply the Triangle Sum Theorem to find the measurement of angle T

Using the Triangle Angle-Sum Theorem knowledge point

$$
LATEXBLOCK2
$$

Answer:

Question 15

\(x = 25\)
Interior angles: \(64^\circ\) and \(77^\circ\)

Question 16

\(m\angle T = 71^\circ\)