Answer: 24.7
Step-by-step explanation:
Let x represent the smaller angle.
Let y represent the larger angle.
The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.
Substitute

into


After substituting, you get

Now, combine the x's

Subtract both sides by 5

Divide both sides by 5.

Now, we can solve for y using the equation

since we know the value of x.

Subtract both sides by 35.

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
You can multiply 256 by 3 to get your answer but the answer would be 768. If my answer is correct please make this a brainiest answer it would really help.
Answer:
a = 7
Step-by-step explanation:
This is a special trig triangles. Special trig triangles are identified by their angle measures and their sides have a unique relationship. This is a 30 - 60 - 90 triangle which has sides 1 - √3 - 2 or multiples of this. This means all 30 - 60 - 90 triangles have side lengths with the pattern 1 - √3 - 2. Here the triangle has a - 7√√3 - 14. The value of a is 7 since 7*√3 = 7√3 and 2*7 = 14.