Question

The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4?

Answer 1

Answer:

Don't know sry....................

Answer 2

Answer:

40°

Step-by-step explanation:

As per the question,

Given data are:

∠6 = (11x +8)° and ∠7 = (12x – 4)°

Now,

We know that when a transverse line cuts the two parallel lines, exterior angles are equal,

∠6 = ∠7

Therefore,

(11x +8)° = (12x – 4)°

On solving this , we get,

x = 12

Therefore,

∠6 = (11x +8)° = 11×12 + 8 = 140°

Now, ∠6 and ∠4 will make a straight line and their sum will be equal to 180°

Therefore,

∠6 + ∠4 = 180°

140° + ∠4 = 180°

∠4 = 40°

Hence, the measure of angle 4 = 40°.