Question

find the measures of the missing angles:
answer attempt 1 out of 2
a =
b =
c =
d =

Explanation:

Step1: Find angle \(a\)

Use the linear - pair property. \(a + 120^{\circ}=180^{\circ}\). So, \(a=180^{\circ}-120^{\circ}\).

Step2: Find angle \(c\)

Use the vertical - angles property. \(c\) and \(95^{\circ}\) are vertical angles. So, \(c = 95^{\circ}\).

Step3: Find angle \(b\)

Use the linear - pair property. \(b + 95^{\circ}=180^{\circ}\). So, \(b=180^{\circ}-95^{\circ}\).

Step4: Find angle \(d\)

Use the exterior - angle property of a triangle. The exterior angle \(b\) is equal to the sum of the two non - adjacent interior angles (\(a\) and \(d\)). We know \(b = 85^{\circ}\) and \(a = 60^{\circ}\). So, \(d=b - a\).

Answer:

\(a = 60^{\circ}\)
\(b = 85^{\circ}\)
\(c = 95^{\circ}\)
\(d = 25^{\circ}\)