PLZ HELP ME In the figure below, m Z1 = 2x® and m Z2 =(x +81).
Find the angle measures.
m 21 =
= 0
1
2
m 22

∠ 1 = 66°, ∠ 2 = 114°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and are supplementary ( sum to 180° ), then

2x + x + 81 = 180 , that is

3x + 81 = 180 ( subtract 81 from both sides )

3x = 99 ( divide both sides by 3 )

x = 33

Thus

∠ 1 = 2x = 2 × 33 = 66°

∠ 2 = x + 81 = 33 + 81 = 114°

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents