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Question

Part 1
Find the measure of angle 1.
11
61 degrees61°
59 degrees59°

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Part 1
The measure of angle 1 is enter your response heredegrees°.
​(Simplify your answer. Type an integer or a​ decimal.)

Answer 1

To find the measure of angle 1, we can use the triangle sum property, which states that the sum of the angles in a triangle is always 180 degrees.

Given:

• Angle 2 = 61 degrees
• Angle 3 = 59 degrees

Let's denote the measure of angle 1 as \( x \). According to the triangle sum property, we can set up the equation:

\[ x + 61 + 59 = 180 \]

Now, combine the known angles:

\[ x + 120 = 180 \]

Next, isolate \( x \) by subtracting 120 from both sides:

\[ x = 180 - 120 \]

\[ x = 60 \]

Thus, the measure of angle 1 is \( 60 \) degrees.

So, the final answer is: 60 degrees.