Question

In ΔFCE, the ratio of ∠F to ∠C is 2:5. The measure of ∠E is one hundred ten degrees more than the sum of the measures of ∠F and ∠C. What is the measure of each angle in ΔFCE?

Answer 1

Answer:70

Explanation:

Given: <f and <c ratio 2:5

To find: <f and <c

Solution: 2x+5n=180' minus 110'

7n=70'

x=10'

<f= 2x10=20'

<e= 5x10=50'

The sum of <F and <E

= 20'+50'=70'