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find the m>1. 79° 104° a 183° b 25° c 101° d 155°

Question

find the m>1. 79° 104° a 183° b 25° c 101° d 155°

Explanation:

Step1: Find the adjacent angle of \(104^{\circ}\)

The adjacent angle of \(104^{\circ}\) is \(180 - 104=76^{\circ}\) (because they are supplementary angles, \(a + b=180^{\circ}\)).

Step2: Use the triangle - angle sum theorem

In a triangle, the sum of interior angles is \(180^{\circ}\). Let the three angles of the triangle be \(m\angle1\), \(79^{\circ}\), and \(76^{\circ}\). Then \(m\angle1+79 + 76=180\).

$$m\angle1=180-(79 + 76)$$
$$m\angle1=180 - 155$$
$$m\angle1 = 25^{\circ}$$

Answer:

B. \(25^{\circ}\)