Solve the Problem $20 ^ { \circ }$ , Second Angle Is

question 106

Multiple Choice

Solve the problem.
-A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 80° more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is thrice the measure of the first angle. Find the measure of each angle

• A) First angle is \(20 ^ { \circ }\), second angle is \(110 ^ { \circ }\), third angle is \(50 ^ { \circ }\)
• B) First angle is \(18 ^ { \circ }\), second angle is \(110 ^ { \circ }\), third angle is \(48 ^ { \circ }\)
• C) First angle is \(24 ^ { \circ }\), second angle is \(112 ^ { \circ }\), third angle is \(44 ^ { \circ }\)
• D) First angle is \(26 ^ { \circ }\), second angle is \(106 ^ { \circ }\), third angle is \(48 ^ { \circ }\)

---

Definitions:

Sense of Security

The feeling of being safe and protected from danger or harm.

Parents' Divorce

The legal ending of a marriage by a court or other competent body, which can significantly impact their children's well-being and development.

Emotional Support

Assistance provided by offering empathy, concern, affection, and encouragement to someone facing challenges or stress.

Blended Family

A family consisting of a couple and their children from this and all previous relationships.