Question

M<2=(7x−11)∘ and m<4=(4x+4)∘
a) x=3
b) x=2
c) x=−2
d) x=−3

Answer 1

To solve for x in the given equation, set the measures of angle 2 and angle 4 equal to each other and solve for x.

Step-by-step explanation:

To solve the given equation, we need to equate the measures of angle 2 and angle 4.

1. Set the measures of angle 2 and angle 4 equal to each other: m<2 = m<4
2. Substitute the given expressions for m<2 and m<4: (7x - 11) = (4x + 4)
3. Solve for x by combining like terms and isolating the variable: 7x - 11 = 4x + 4. Add 11 to both sides: 7x = 4x + 15. Subtract 4x from both sides: 3x = 15. Divide by 3 to solve for x: x = 5.

Therefore, the value of x that satisfies the given equation is x = 5.