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Maths-

General

Easy

Question

Which of the following statements is NOT true?

a. 𝑚∠𝐵 < 𝑚∠𝐶
b. 𝑚∠𝐵 > 𝑚∠𝐶
c. 𝑚∠𝐵 = 𝑚∠𝐶

hint Hint:

In triangle, the angle opposite to largest side is largest.

In triangle, the side opposite to largest angle is largest.

The correct answer is: Hence, following statement are not true. b. 𝑚∠𝐵 > 𝑚∠𝐶 c. 𝑚∠𝐵 = 𝑚∠𝐶

Step by step explanation:
Given: In ABC
AB = 12
AC = 7
Step 1:
Find relation between angles.
We know that, in triangle, the angle opposite to largest side is largest
So,
Angle opposite to AB is ∠C
Angle opposite to AC is ∠B
AB > AC
∴ ∠C > ∠B.
Hence, m ∠C > m ∠ B
Final Answer:
Hence, following statement are not true.
b. 𝑚∠𝐵 > 𝑚∠𝐶
c. 𝑚∠𝐵 = 𝑚∠𝐶

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