In the figure below, lines m and n are parallel. What is the measure of angle y?

B

Step-by-step explanation:

y and x + 20 are corresponding angles and are congruent, then

y = x + 20 → (1)

2x - 10 and y are adjacent angles and supplementary, sum to 180°, so

2x - 10 + x + 20 = 180, that is

x + 10 = 180 ( subtract 10 from both sides )

x = 170 ( multiply both sides by 2 to clear the fraction )

5x = 340 ( divide both sides by 5 )

x = 68

Substitute x = 68 into (1)

y = (68) + 20 = 34 + 20 = 54° → B

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°