ANGLES
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» Angle (a), angle (b), and angle (c) are Supplementary angles because of line AD.
[tex] \: : \implies \sf \large m \angle a + m\angle b + m \angle c = 180 \degree[/tex]
» Substitute the given values to find angle (a):
[tex]\implies \sf \large m \angle a + 89 \degree + 38 \degree = 180 \degree[/tex]
[tex]\implies \sf \large m \angle a + 127 \degree = 180 \degree[/tex]
[tex]\implies \sf \large m \angle a = 180 \degree - 127 \degree[/tex]
[tex]\implies \sf \large m \angle a = 53 \degree \\ \\ [/tex]
Final Answer:
[tex] \tt \huge » \: \purple{m \angle a = 53 \degree}[/tex]
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