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Sagot :
Answer:
20 degrees.
Step-by-step explanation:
We can assign variables for this problem. We can see that the overall angle adds up to 100 degrees, with Angle 1 being four times Angle 2, where Angle 2 being a random variable we can call x.
Using this information, we can conclude that Angle 1 is 4x and Angle 2 is x.
We can add those variables together, equal it to 100 degrees since ABD is known to be 100 degrees, to find variable x, and input it to find angle 2.
4x+x=100 (make equation)
5x=100 (add like terms)
x=20 (isolate x)
We know that x stands for 20, and since angle 2 is just x, the answer is just 20 degrees.
The value of m∠2 is 20°
m∠ABD = 100°
m∠1 and m∠2 are adjacent angles.
Adjacent angles:
Adjacent angles are angles that have common vertex
m∠1 is four times m∠2. Therefore,
m∠1 = 4(m∠2)
100° = m∠1 + m∠2
Therefore,
100 = 4(m∠2) + m∠2
100 = 5(m∠2)
divide both sides by 5
100 / 5 = m∠2
m∠2 = 20°
Therefore,
m∠1 = 100 - 20 = 80°
learn more on angles here: https://brainly.com/question/10403348?referrer=searchResults
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