Question

what is m∠f? m∠f = °

Explanation:

Step1: Recall cyclic - quadrilateral property

In a cyclic quadrilateral, the sum of opposite angles is 180°. Here, ∠F and ∠H are opposite angles in cyclic quadrilateral EFGH. So, (x + 39)+(3x - 95)=180.

Step2: Solve the equation for x

Combine like - terms: 4x+39 - 95 = 180, which simplifies to 4x - 56 = 180. Add 56 to both sides: 4x=180 + 56=236. Divide both sides by 4: x = 59.

Step3: Find the measure of ∠F

Substitute x = 59 into the expression for ∠F. m∠F=x + 39. So, m∠F=59+39 = 98°.

Answer:

98