Question

the angles shown are complementary angles. determine the measures of \\(\angle 1\\) and \\(\angle 2\\).

what are the measures of \\(\angle 1\\) and \\(\angle 2\\)?

\\(m\angle 1 = \square^{\circ}\\) (simplify your answer.)
\\(m\angle 2 = \square^{\circ}\\) (simplify your answer.)

Explanation:

Set up the angle equation

Using the Complementary Angles knowledge point, we know that complementary angles sum to \(90^\circ\).

$$ \mathrm{m}\angle 1 + \mathrm{m}\angle 2 = 90^\circ $$

Substitute the given expressions

We substitute the given algebraic expressions for each angle into the equation.

$$ (19x + 10) + x = 90 $$

Solve for x

We combine like terms and solve the linear equation.

$$
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$$

Calculate the angle measures

We substitute \(x = 4\) back into the expressions for each angle.

$$
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$$

Answer:

What are the measures of \(\angle 1\) and \(\angle 2\)?

\(\mathrm{m}\angle 1 =\) <blank>86</blank>\(^\circ\)
\(\mathrm{m}\angle 2 =\) <blank>4</blank>\(^\circ\)