Question

What is the measure of angle B in degrees?

Answer 1

Answer:

m∠B = 119°

Step-by-step explanation:

• the measure of c and 112 are on the straight angle and they are both equal 180°

c = 180 - 112 = 68

∠c = 68°

• the sum of the interior angles of a triangle is 180°

• the measure of third angle = the sum of the interior angles - the sum of two angles

a = 180 - (51 + 68) = 61

∠a = 61°

• the measure of 61 and b are on the straight angle and they are both equal 180°

b = 180 - 61 = 119

∠b = 119°

also you can go on other way

• an exterior angle of a triangle is equal to the sum of the opposite interior angles

51 + 68 = 119

Answer 2

The measure of angle B in degrees is 119.

Given that,

• The degrees are 51 and 112.

Based on the above information, the calculation is as follows:

The measure of c and 112 should be shown on the straight angle and equivalent to 180.

So,

= 180 - 112

= 68

Now the measure of angle B is

= 68 + 51

= 119

As the exterior angle is equivalent to the opposite interior angles sum.

Therefore we can conclude that the measure of angle B in degrees is 119.

Learn more: brainly.com/question/17581080