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8. assume all given information to be true. if ( mangle a ) is less tha…

Question

  1. assume all given information to be true.

if ( mangle a ) is less than ( 90^{circ} ), then ( angle a ) is an acute angle. the measure of ( angle a = 75^{circ} ).
what can you logically conclude?
a. ( angle a ) is acute.
b. ( angle a ) is right.
c. ( angle a ) is obtuse
d. not enough information

Explanation:

Step1: Check the condition

Given that if \(m\angle A<90^{\circ}\), then \(\angle A\) is acute. Here \(m\angle A = 75^{\circ}\), and \(75^{\circ}<90^{\circ}\).

Answer:

A. \(\angle A\) is acute.