Question

PLEASE HELP

In the following figure (AB) (CD). Suppose that m<1=32 (degrees). What is the m<6 ? Explain your reasoning.

Answer 1

148°

Explanation:

see attached

Answer 2

m∠6 = 148°

Explanation:

From the figure attached,

AB and CD are two parallel line and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

Since, ∠4 ≅ ∠6 [Alternate interior angles]

m∠4 = m∠6 = 148°

Therefore, m∠6 = 148°