Question

4. Find each interior angle


Sort from smallest to largest

Answer 1

50, 75, 90, 105, 110

Explanation:

All angles of a pentagon add up to 540 degrees

So;

Finding all the inner angles first;

x = 180 - 50 = 130

y = 180 - 75 = 105

So, 130 + 105 + 90 + (2x + 10) + (2x + 5) = 540

or, 4x = 200

Therefore, x = 50

2x + 5 = 105

2x + 10 = 110

Hence, the angles in ascending order are:

50, 75, 90, 105, 110