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raketka [301]
3 years ago
15

What are all of the Angle measures

Mathematics
2 answers:
Semmy [17]3 years ago
5 0

Answer:Type of Angle Description

Acute Angle is less than 90°

Right Angle is 90° exactly

Obtuse Angle is greater than 90° but less than 180°

Straight Angle is 180° exactly

Step-by-step explanation:

raketka [301]3 years ago
3 0

Answer:

∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°

Step-by-step explanation:

<h3>Solving for x</h3>

We can say that angle ABC and angle DBE are vertically opposite angles because there are only two intersecting lines. Vertically opposite angles are equal so we can form an equation:

4x + 2 = 5x - 13

5x - 4x = 2 + 13

x = 15

<h3>Angles ABC and DBE</h3>

Now we can substitute x into the equation and find out the value for angles ABC and DBE.

4(15) + 2 = 60 + 2 = 62°, just to make sure we need to substitute x into the other equation to see whether we get the same answer:

5(15) - 13 = 75 - 13 = 62°, now we can confirm that angles ABC and DBE are 62°.

<h3>Angles CBE and ABD</h3>

Now we can use the rule, angles on a straight line add up to 180°, to find the other two angles, because these two angles are vertically opposite, they are also equal to each other.

180 - 62 = 118°

Angles CBE and ABD are both 118°

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