∠ADB and ∠BDC represent a linear pair because points A, D, and C lie on a straight line. Calculate the sum of m∠ADB and m∠BDC. Then move point B around and see how the angles change. What happens to the sum of m∠ADB and m∠BDC as you move point B around?
Answers
The sum of these angles would be 180° (linear pair axiom)
The sum shall remain same, however when the value of one angle increases, the other decreases, so ensure that they remain supplementary.
Hope it helps
Ps. would appreciate a brainliest answer
Answer:
Step-by-step explanation: if points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and
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1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but .
2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but .
3. When point B lie on the line ADC, then:
a. Point B lies on the right hand from point D: ;
b. Point B lies on the left hand from point D: .
4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.