EFGH is a quadrilateral inscribed in circle P with the measure of angle E = 72 and the measure of angle F = 49. Find the measure of angle H.

131°

Step-by-step explanation:

An inscribed quadrilateral is any four sided shape enclosed by a circle with vertices on the the circumference of a circle. This results in a relationship between the opposite angles of the quadrilateral. It states that the sum of the opposite angles of such quadrilateral is equal to 180°.  

The quadrilateral EFGH has ∠ E, ∠F, ∠G and ∠H. ∠ E and ∠G are opposite to each other while ∠ F and ∠H are opposite to each other.

Therefore, ∠F + ∠H = 180

∠H = 180 - ∠F

∠H = 180 - 49 = 131

∠H = 131°

19.side- angle- side

20. angle- side- angle

step-by-step explanation:

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: