Given that measure of angle 6 is 1/8 of measure of angle 4. find the measures of these two angles if a∥b .

Step-by-step explanation:

Consider the below figure attached with this question.

Given information: a∥b, .

a∥b              (Given)

   (Given)

Multiply both sides by 8.

     ...(1)

If a transversal line intersect two parallel lines then the same sided interior angles and are supplementary angles.

             (Same sided interior angles)

           (Substitution)

Divide both sides by 9.

The measure of angle 6 is 20 degree.

Substitute this value in equation (1).

The measure of angle 4 is 160 degree.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°