Find the measure of ∠c if

∠a = 3 2 x + 20
∠b = 7 2 x + 20
∠c = 5 2 x + 40
∠d = 3 2 x + 10

The measure of angle C is 114.672°

Step-by-step explanation:

Given: Measure of angles as

 ∠A = 32x + 20

∠B = 72x + 20

∠C = 52x + 40

∠D = 32x + 10

we have to find the measure of angle C.

Consider the given angles.

Since, there are four angles, so the figure must be a quadrilateral.

Also, we know,

Sum of measure of angles of a quadrilateral is 360°

Thus,  ∠A  + ∠B + ∠C +  ∠D = 360°

Substitute  the values , we get,

32x + 20 + 72x + 20 + 52x + 40 + 32x + 10 =360

188x + 90 = 360  

188x = 270

Thus, Measure of angle C is   52(1.436) + 40 =114.672

Thus, The measure of angle C is 114.672°

25

step-by-step explanation:

283 square feet

step-by-step explanation:

good luck