In the figure, ab¯¯¯¯¯∥cd¯¯¯¯¯ and m∠2=60°. what is m∠6?

The angles formed by parallel lines and a common transversal have certain relationships including equal corresponding angles.

m∠6 is 60°

Reason:

The given parameters are;

║

m∠2 = 60°

Require:

m∠6

Solution:

∠2 and ∠6 are corresponding angles, given that line AB is parallel to line

CD, by corresponding angles theorem, we have;

Therefore;

m∠2 = 60° = m∠6

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we know that

When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Corresponding angles are equals

in this problem we have

m∠6=m∠2 ------> by corresponding angles

so

m∠6=

therefore

the answer is

m∠6=

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree