In triangle ABC, angle A measures 100 degrees, and angle B measures 45 degrees. Determine the measure of angle C and classify the triangle based on its angles.

So, given angles in the triangle is Angle A

100 degrees

Now, we can find the angle C

Angle A + Angle B + Angle C = 180 degrees

Substitute the values

100 degrees + 45 degrees + Angle C = 180 degrees

145 degrees + Angle C = 180 degrees

Subtract the 145 degrees on both sides

145 degrees - 145 degrees + Angle C = 180 degrees - 145 degrees

Angle C = 35 degrees

So, angle C measures 35 degrees.

If one angle is greater than 90 degrees, it’s an obtuse triangle.

So, triangle ABC is an obtuse triangle with angle A measuring 100 degrees, angle B measuring 45 degrees, and angle C measuring 35 degrees.

Can you summarize what you’ve understood in the above steps?

C is in 35 degrees Acute angle - Incorrect. Angle C is 35 degrees, but it’s classified as an acute angle

C is in 35 degrees Acute angle

Thsi is correct because it correctly identifies angle C as a 35 degrees obtuse angle

C is in 35 degrees Obtuse angle

C is in 45 degrees Obtuse angle - Incorrect. The measure of angle C is 35 degrees, not 45 degrees

C is in 45 degrees Obtuse angle

B is in 35 degrees Obtuse angle - Incorrect. The information about angle B is given as 45 degrees, not 35 degrees

B is in 35 degrees Obtuse angle

Option

B

Can you summarize what you’ve understood in the above steps?