Two adjacent angles angle 1 and angle 2 form a resultant angle with a measure of 135 degrees if the measure of angle 1 equals two times and the measurable angle 2 is 2 * + 7 what are the two unknown angle measurements a angle 1 is 71° and angle 2 is 32° B angle 1 is 67.5° and angle 2 is 67.5° c angle 1 is 32° and angle 2 is 103° B angle 1 is 64° and angle 2 is 71°
Let's break down the problem statement:
Let angle 1 be x.
Given that angle 1 is two times ("2 times") the measure of angle 2, we can write: angle 1 = 2(angle 2)
Given that the measurable angle 2 is 2 * "something" + 7, we can write: angle 2 = 2("something") + 7
Now, the problem states that the resultant angle (the sum of angle 1 and angle 2) is 135 degrees.
We can write this as: angle 1 + angle 2 = 135
Now, let's solve the equations to find the values of angle 1 and angle 2:
Substituting the second equation into the first equation, we get: x = 2(2("something") + 7)
Simplifying, we get: x = 4("something") + 14
Substituting this value of x into the third equation, we get: (4("something") + 14) + (2("something") + 7) = 135
Simplifying further, we get: 6("something") + 21 = 135
Solving for "something", we subtract 21 from both sides: 6("something") = 114
Dividing both sides by 6, we get: "something" = 19
Now that we have the value of "something", we can substitute it back into the equations to find the values of angle 1 and angle 2:
angle 1 = 4("something") + 14 = 4(19) + 14 = 76 + 14 = 90 degrees
angle 2 = 2("something") + 7 = 2(19) + 7 = 38 + 7 = 45 degrees
Therefore, the correct option is A) angle 1 is 71° and angle 2 is 32°.