Find the measure of the missing value

x = 48, y = 70

Step-by-step explanation:

Since 2 sides are congruent, then the triangle is isosceles and the base angles are congruent, thus

x + 7 = 55 ( subtract 7 from both sides )

x = 48

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for y, that is

y = 180 - (55 + 55) = 180 - 110 = 70

sine

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180