What is the measure of the third angle in the similar triangles below? A) 25º B) 65º C) 85º D) 115º

B. 65 degrees

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

Given angles = 80 and 35

Sum of given angles = 115

Thus, the third angle = 180 - 115 = 65 degrees.

Hope this helps

(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

32

step-by-step explanation: