1

Problem

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.

2

Step

So, given angles in the triangle is Angle A Angle B

100 degrees 45 degrees

3

Step

Now, we can find the angle C

Angle A + Angle B + Angle C = 180 degrees

4

Step

Substitute the values

100 degrees + 45 degrees + Angle C = 180 degrees 145 degrees + Angle C = 180 degrees

5

Step

Subtract the 145 degrees on both sides

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

6

Step

After simplification

Angle C = 35 degrees

7

Solution

So, angle C measures 35 degrees.

8

Hint

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

9

Solution

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

10

Sumup

Please summarize steps

Choices

11

Choice-A

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

Wrong C is in 35 degrees Acute angle

12

Choice-B

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

Correct C is in 35 degrees Obtuse angle

13

Choice-C

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

Wrong C is in 45 degrees Obtuse angle

14

Choice-D

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

Wrong B is in 35 degrees Obtuse angle

15

Answer

Option

B

16

Sumup

Please summarize choices