Answer:
The measure of angle ∠ABR is 66 degrees.
Explanation:
Now explain the answer step by step:
To sketch the angles and find the measure of ∠ABR, we need to first visualize the situation based on the given information. We have:
- ∠ABC = 39°
- ∠CBR = 75°
Let's start by drawing a line segment BC and then placing point A somewhere on one side of BC. Angle ∠ABC will be 39°, and angle ∠CBR will be 75°.
```
B
/\
/ \
A /____\ C
```
Now, we need to find angle ∠ABR. Since the sum of angles around point B should be 180° (because it's a straight line), we can calculate ∠ABR using the following formula:
∠ABR = 180° - ∠ABC - ∠CBR
Substitute the given angle values:
∠ABR = 180° - 39° - 75°
∠ABR = 66°
So, the measure of angle ∠ABR is 66°.