Question

Please help quickly am in a hurrry.

Answer 1

b. x =24°

c. ∡6 = 79°

Explanation:

Given:

A ║ B

Solution

a.

Complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x is:

• Sum of 3x+7 and ∡3 is supplementary 3x+7+∡3= 180° as it the pair angle of linear pair.
• 4x + 5 is congruent to ∡3 as corresponding angle are equal or congruent.

Since replacing value of ∡3 as 4x +5 at supplementary equation 3x+7+∡3= 180°, we can easily find the value of x.

b.

Calculating value of x.

3x+7+∡3= 180°

replacing value of ∡3 as 4x +5

3x + 7 + 4x + 5 = 180°

7x + 12 = 180°

7x = 180° - 12°

7x = 168°

`\tt x= (168)/(7)`

x = 24

Therefore, value of x is 24.

c.

Let's find the measure angle of ∡6.

∡6 = 3x + 7 Since corresponding angles are equal or congruent.

Substituting value of x,

∡6 = 3*24 + 7

∡6 = 79°

Therefore, ∡6 = 79°