Question

The measure of angle G is three times the measure of angle F, and the measure of angle H is 20 more than that of angle F.

Which of the following options correctly represents the relationship between the angles?

Option 1: G = 3F, H = F + 20
Option 2: G = F + 3, H = F + 20
Option 3: G = F + 3, H = 20 - F
Option 4: G = 3F, H = 20 - F

Answer 1

The relationship between the angles is accurately described by Option 1: G = 3F, H = F + 20, indicating angle G is thrice angle F and angle H is 20 degrees more than angle F.

Step-by-step explanation:

The correct relationship between the angles given the descriptions of angle G being three times the measure of angle F, and the measure of angle H being 20 more than that of angle F, is best represented by Option 1: G = 3F, H = F + 20. This is because when we define angle F as having a certain measure, angle G being 'three times' that measure translates to the expression 3F, and angle H being '20 more' than angle F translates to the expression F + 20. Therefore, in algebraic terms, if F is the measure of angle F, then 3F would be the measure of angle G, and F + 20 would be the measure of angle H.