Question

Given m ∠ABC=39,
m∠CBR=75
Sketch the angles and find m∠ABR

Answer 1

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°.