7a. The sum of the measures of two adjacent angles is 72°. The ratio of the smaller angle to the larger angle is 1∶3. Find the measure of the SMALLER angle. *

7b. The sum of the measures of two adjacent angles is 72°. The ratio of the smaller angle to the larger angle is 1∶3. Find the measure of the LARGER angle. *

Smaller: 18 degrees

Larger: 54 degrees

Step-by-step explanation:

7. (a) Say the smaller angle is x and the larger angle is y. The sum is 72, so:

x + y = 72

The ratio of the smaller angle to the larger angle is 1:3, so:

x/y = 1/3

Cross-multiplying, we get: y = 3x

We can substitute this value of y into the first equation:

x + 3x = 72

4x = 72

x = 18

Thus, the smaller angle is 18 degrees.

7. (b) Knowing the smaller angle, we can now find the larger angle:

y = 3x

y = 3 * 18 = 54

Thus, the larger angle is 54 degrees.

Hope this helps!

smaller angle is 18

The larger angle is 54

Step-by-step explanation:

The ratio is 1:3

Multiply by x

x:3x

We know they sum to 72

x+3x = 72

Combine like terms

4x= 72

Divide by 4

4x/4 = 72/4

x =18

The smaller angle is 18

The larger angle is

3x = 3*18 =54

The larger angle is 54

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?