Question

Angle F is 20 degrees more than three times the measure of angle H. What is the measure of angle F?

Answer 1

If `/_F` and `/_H` are complementary angles then `/_F=72.5^@`
If `/_F` and `/_H` are supplementary angles then `/_F=140^@`
Otherwise we need more information to solve this.

Explanation:

Since this was asked in the section on "Complementary and Supplementary Angles", perhaps one of the following was intended:

1: If `/_F` and `/_H` are complementary
`/_F+/_H = 90^@`
and we are told
`/_F = 3 * /_H + 20^@`
`rarr 3 * /_H+20^@ +/_H=90^@`
`rarr 4 * /_H + 20^@ = 90^@`
`rarr /_H=17.5^@`
and since `/_F + /_H = 90^@`
then `/_F = 72.5^@`

2: If `/_F` and `/_H` are supplementary
`/_F+/_H = 180^@`
and using logic similar to above
`/_F = 140^@`