Question

If m∠3 = 4x – 31 and m∠8 = 2x + 7, what is the value of x?
a.24
b.34
c.44
d.54

Answer 1

c.44 is the answer hope it is correct

Answer 2

Given:

If m∠3 = 4x – 31 and m∠8 = 2x + 7,

To find:

What is the value of x?

Solution:

From the figure, we have

• Line a and line b are two parallel lines

• line t is a transversal line that cut both the parallel lines a and b

∴ m∠6 = m∠8 . . . . [vertically opposite angles] . . . . Equation 1

Also,

m∠3 + m∠6 = 180° . . . . . [conseutive interior angles are supplementary]

onsubstituting from equation 1, we get

⇒ m∠3 + m∠8 = 180°

⇒ (4x -31)° + (2x + 7)° = 180°

⇒ (6x - 31 + 7)° = 180°

⇒ (6x - 24)° = 180°

⇒ 6x° = 180° + 24°

⇒ 6x° = 204°

⇒ x = $\frac{204}{6}$

⇒ x = 34°

Thus, the value of x is → 34°.

---------------------------------------------------------------------------------------------------

Also View:

two parallel lines l and m are cut by a transversal t. If the interior angles of the same side of the (2x-8) degree and (3x-7) degree. Find the measure of each of these angles

brainly.in/question/1559358

In the figure, if lines l and m are parallel lines and n is transversal. find the value of x​

brainly.in/question/24617023

Two parallel lines are cut by a transversal in the interior angles are 2 x minus 20 degrees and 3 X + 10 degrees then find the value of x?

brainly.in/question/4829779