Question

2 fill in the blank 1 point consider the figure below, where l1 || l2 are cut by transversals t1 and t2. find the values of a, b, q, and v. use the diagram above to answer the following a = type your answer b = type your answer q = type your answer v = type your answer

Explanation:

Step1: Find a (corresponding angles)

Since \( l_1 \parallel l_2 \), \( a \) corresponds to 67°, so \( a = 67^\circ \).

Step2: Find b (linear pair with a)

\( a + b = 180^\circ \), so \( b = 180^\circ - 67^\circ = 113^\circ \).

Step3: Find q (corresponding angles)

\( l_1 \parallel l_2 \), q corresponds to 98°, so \( q = 98^\circ \).

Step4: Find v (linear pair with q)

\( q + v = 180^\circ \), so \( v = 180^\circ - 98^\circ = 82^\circ \).

Answer:

a = 67°
b = 113°
q = 98°
v = 82°