Question

What is the measure of angle 1? 2 parallel lines are crossed by a transversal to form 8 angles. Clockwise from top left, the angles are blank, 92 degrees, blank, blank; blank, 2, 1, blank. 86° 88° 90° 92°

Answer 1

∠ 1 = 88° is my best guess.

Answer 2

∠ 1 = 88°

Explanation:

See the diagram attached.

Two line P and Q are parallel and Line R is the transverse one.

Now, as shown in the diagram angle 92° and ∠ 2 are corresponding angles and they are equal.

Hence, ∠ 2 = 92°.

Now, ∠ 2 and ∠ 1 are supplementary angles and ∠ 1 + ∠ 2 = 180°

⇒ ∠ 1 + 92° = 180°

⇒ ∠ 1 = 180° - 92° = 88° (Answer)