Transversal c intersects lines a and b. Prove that a||b in each case. b m∠3=45° and m∠5=3 ⋅ m∠3.

The length of the smaller angle is 80°. Longer angle = 100°

Step-by-step explanation:

Ratio of two  adjacent angles = 4:5

Let the two angles be 4x and 5x.

Property of adjacent angles -

Two adjacent angles are supplementary.

Any two pair of adjacent will sum up to 180°.

Going by the property we get the equation -

we got the value of x =20

Getting the angles 4x and 5x

 ⇒ 100 °

⇒ 80 °

The length of the smaller angle is 80 °. and Longer angle = 100°