T w o a d j a c e n t angles angle 1 and angle 2 form a resultant angle with a measure of 135°, if the measure of an angle is 1 = 2X and they measure of the angles too is 2x + 7 what are they two unknown angles a angle one 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 degrees d angle one is 64° and angle 2 is 71°
To solve this problem, we can set up an equation based on the given information.
Let the measure of angle 1 be represented by 1 = 2x.
Let the measure of angle 2 be represented by 2 = 2x + 7.
According to the problem, the sum of angle 1 and angle 2 (resultant angle) is 135°.
Therefore, we have the equation 2x + (2x + 7) = 135.
Simplifying the equation, we get 4x + 7 = 135.
Subtracting 7 from both sides, we have 4x = 128.
Dividing both sides by 4, we get x = 32.
Now, we can find the values of angle 1 and angle 2.
Plugging x = 32 into 1 = 2x, we find angle 1 = 2(32) = 64°.
Plugging x = 32 into 2 = 2x + 7, we find angle 2 = 2(32) + 7 = 71°.
Therefore, the correct answer is d) angle 1 is 64° and angle 2 is 71°.