QQuestionMathematics
QuestionMathematics
In the above triangle, which angle has the largest measure?
∠A
∠B
∠C
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:: Examine the given triangle to compare the measures of the angles.
Step 2:: In the image provided, we can see that angle A is a right angle, which is 90 degrees.
\angle A = 90^{\circ}
This is indicated by the small box in the angle corner. Therefore, we have:
Step 3:: We are also given that:
Since $\angle A$ is a right angle, the sum of $\angle B$ and $\angle C$ must also be a right angle.
Step 4:: Now, let's compare the measures of $\angle B$ and $\angle C$.
\angle B < 90^{\circ} \text{ and } \angle C < 90^{\circ}
Step 5:: Consequently, since $\angle A$ is the only angle with a measure of 90 degrees, it is the largest angle in the triangle.
Final Answer
The angle with the largest measure is $\angle A$.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students