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Use the diagram to find the measures of the angles, given that m<1= 159 degrees

Use the diagram to find the measures of the angles, given that m<1= 159 degrees-example-1

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Check the picture below.

Use the diagram to find the measures of the angles, given that m<1= 159 degrees-example-1
User Moswald
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Based on the diagram, we can identify two pairs of supplementary angles: ∠1 and ∠3, and ∠2 and ∠4. Supplementary angles are two angles that add up to 180°.Therefore, the measures of all the angles in the diagram are ∠1 = 21°, ∠2 = 21°, ∠3 = 159°, and ∠4 = 159°.

To solve for the measures of all the angles in the diagram, we can utilize the given information that m/2 = 159°. Based on the diagram, we can identify two pairs of supplementary angles: ∠1 and ∠3, and ∠2 and ∠4. Supplementary angles are two angles that add up to 180°.

Using the given information, we can determine the measure of ∠4: m∠4 = 159°

Since ∠1 and ∠3 are supplementary angles, we can set up the equation:

m∠1 + m∠4 = 180°

Substituting the known value of m∠4, we get m∠1 + 159° = 180°

Solving for m∠1, we find m∠1 = 21°

Similarly, we can determine the measure of ∠2: m∠2 + m∠4 = 180°

Substituting the known value of m∠4, we get m∠2 + 159° = 180°

Solving for m∠2, we find m∠2 = 21°

Therefore, the measures of all the angles in the diagram are ∠1 = 21°, ∠2 = 21°, ∠3 = 159°, and ∠4 = 159°.

User BabC
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