Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies
1 answer:
You might be interested in
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be <em>a, b, </em>and <em>c. </em>
<em />
The measure of the first angle is twice the measure of the second angle. In other words:
The measure of the third angle is 80° more than the measure of the second angle. In other words:
And since the interior angles of a triangle must equal 180°:
Substitute <em>a</em> and <em>c: </em>
<em /><em />
Combine like terms:
Subtract 80 from both sides:
And divide both sides by four:
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)