QUESTION IMAGE
Question
- if one angle measures 65°, which of the following is its supplementary angle? a. 25° b. 95° c. 115° d. 125° 2. if one angle measures 120°, which angle is supplementary to it? a. 60° b. 30° c. 90° d. 45°
Response
Question 1
Step1: Recall supplementary angle definition
Supplementary angles sum to \(180^\circ\).
Step2: Calculate supplementary angle
Let the supplementary angle be \(x\). Then \(65^\circ + x = 180^\circ\), so \(x = 180^\circ - 65^\circ = 115^\circ\).
Step1: Recall supplementary angle definition
Supplementary angles sum to \(180^\circ\).
Step2: Calculate supplementary angle
Let the supplementary angle be \(y\). Then \(120^\circ + y = 180^\circ\), so \(y = 180^\circ - 120^\circ = 60^\circ\).
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C. \(115^\circ\)