94.7k views
3 votes
LEARNING TASK 3:

Directions: Given that b ∥ c with d as

transversal. Find the value of x in the

following.





1. ∠4 = 5x, ∠5 = 120°

2. ∠1 = 100°, ∠7 = 10x

3. ∠2 = 3x - 10, ∠6= x + 30

4. ∠4 = 3x + 10, ∠6= 2x + 20

5. ∠1 = 7x + 9, ∠5 = 5x + 31

Plssss I need this now​

1 Answer

4 votes

Explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

User Clock
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories