Question

#11: if m∠uvx = 76 and m∠xvw = 64, what is the measure of m∠uvw?
your answer
#12: if m∠ghj = 27 and m∠ghk = 87, what is the measure of m∠jhk?

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle UVW=\angle UVX+\angle XVW$.

Step2: Substitute given values

Given $\angle UVX = 76^{\circ}$ and $\angle XVW=64^{\circ}$, then $\angle UVW=76 + 64$.

Step3: Calculate the sum

$76+64 = 140$.

Step1: Identify angle - subtraction relationship

We know that $\angle JHK=\angle GHK-\angle GHJ$.

Step2: Substitute given values

Given $\angle GHJ = 27^{\circ}$ and $\angle GHK = 87^{\circ}$, then $\angle JHK=87 - 27$.

Step3: Calculate the difference

$87-27=60$.

Answer:

$m\angle UVW = 140$