in triangle xyz the measure of angle x is 40 degrees and is congruent to angle y. what is the measure of angle z in degrees?

100

Step-by-step explanation

The sum of all angles in a triangle is 180.

angle x is equal to 40 degrees and angle y is also equal to 40 degrees

40 + 40 = 80

180 - 80 = 100

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

(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