In the diagram shown, < 1=< 4 and< 2=< 3 the sum of the measures of the four angles is 140 the measure of < 3 is 8 less than the measure of < 4 what is the combined measure of angles 2, 3, and 4? a. 101° b. 107° c. 109° d. 117°

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

∠1 = ∠4

∠2 = ∠3

And sum of the measures of the four angles = 140°

According to question, it becomes,

Measure of ∠3 is 8 less than the measure of ∠4.

Let the measure of ∠4 be 'x'.

So, the measure of ∠3 would be 'x-8'.

∠1 = x and ∠2 = x-8

So, put all the values in the above equation:

So,

So,

Hence, Option 'B' is correct.

true

step-by-step explanation:

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