Question

1. using the shape tool, circle the correctly in the white rectangle.

two angles are complementary. the first angle is 2x degrees and the second angle is (3x - 5) degrees.
a. the value of x is 19.
b. the measure of the larger angle is 38°

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Set up the equation

$2x + (3x - 5) = 90$

Step3: Simplify the equation

$5x - 5 = 90$

Step4: Solve for x

$5x = 95$
$x = \frac{95}{5} = 19$

Step5: Calculate angle measures

First angle: $2x = 2(19) = 38^\circ$
Second angle: $3x - 5 = 3(19) - 5 = 52^\circ$

Step6: Evaluate options

Option A is correct; Option B is incorrect (larger angle is $52^\circ$).

Answer:

A. The value of x is 19.