Angles 1 and 2 are a supplementary pair with the measure of angle 2 being six more than twice the measure of angle 1. What is the measure of angle 2?

58° and 122°

Step-by-step explanation:

Let the 1st angle be 'a'.

2nd angle = 6 more than twice of a = 2a + 6.

Supplementary angles add upto 180°.

=> a + (2a + 6) = 180

=> a + 2a + 6 = 180

=> 3a + 6 = 180

=> 3a = 174

=> a= 174/3 = 58

Thus, angles are:

a = 58°.

2a + 6 = 2(58°) + 6 = 122°

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours