Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?

m∠H=66°

Step-by-step explanation:

Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.

Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.

Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:

m∠F+m∠H=180 degrees

114° +m∠H=180°

m∠H=180° -  114°

m∠H=66°

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

answer: i literally just answered this question but they want me to do it again

step-by-step explanation: