QuestionFebruary 2, 2026

Two parallel lines are cut by a transversal as shown below. Suppose mangle 4=98^circ Find mangle 5 and mangle 7 mangle 5=square ^circ mangle 7=square ^circ

Two parallel lines are cut by a transversal as shown below. Suppose mangle 4=98^circ Find mangle 5 and mangle 7 mangle 5=square ^circ mangle 7=square ^circ
Two parallel lines are cut by a transversal as shown below.
Suppose mangle 4=98^circ  Find mangle 5 and mangle 7
mangle 5=square ^circ 
mangle 7=square ^circ

Solution
4.7(214 votes)

Answer

m\angle 5 = 98^\circ ### m\angle 7 = 98^\circ Explanation 1. Identify the relationship between angles When two parallel lines are cut by a transversal, corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary. 2. Determine m\angle 5 Since \angle 4 and \angle 5 are corresponding angles, m\angle 5 = m\angle 4 = 98^\circ. 3. Determine m\angle 7 Since \angle 4 and \angle 7 are alternate interior angles, m\angle 7 = m\angle 4 = 98^\circ.

Explanation

1. Identify the relationship between angles<br /> When two parallel lines are cut by a transversal, corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.<br />2. Determine $m\angle 5$<br /> Since $\angle 4$ and $\angle 5$ are corresponding angles, $m\angle 5 = m\angle 4 = 98^\circ$.<br />3. Determine $m\angle 7$<br /> Since $\angle 4$ and $\angle 7$ are alternate interior angles, $m\angle 7 = m\angle 4 = 98^\circ$.
Click to rate:

Similar Questions