Find m∠pqw if m∠wqr = 130°, m∠pqr = 16x, and m∠pqw = 3x.
a) 5°
b) 10°
c) 30°
d) 40°

pls answer i need this fast

The measure of ∠PQW is 30°

Step-by-step explanation:

Given as :

The measure of angle WQR = ∠WQR = 130°

The measure of angle PQR = ∠PQR = 16x°

The measure of angle PQW = ∠PQW = 3x°

Now, From Figure

Since, The measure of angle ∠PQR = The sum of measure of angle ∠PQW + The sum of measure of angle ∠WQR

∴ ∠PQR = ∠PQW + ∠WQR

Or, 16x° = 3x°  +  130°

Or, 16x° - 3x° = 130°

Or, 13x° = 130°

∴ x =

I.e x = 10°

Now, we put the value of x in angles

So, The measure of angle PQW = 3x°

I.e ∠PQW  = 3 × 10°

∴ ∠PQW  = 30°

The measure of ∠PQW  = 30°

Hence The measure of ∠PQW is 30° Answer

d

step-by-step explanation:

step-by-step explanation:

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