Answer:
This is a vertical angle theorem
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. ... Vertical angles are always congruent . So, in this figure, ∠1≅∠3 and ∠2≅∠4 .
The answer to Q1 along with an explanation is shown in the picture;
Having a look at all the questions, they are all essentially the same type so can all be solved similarly;
So by following the method and explanation, you should be able to do the rest of the questions.
Answer:
AB = 3
Step-by-step explanation:
AB = AD
AB² + 4² = (AB + 2)²
AB² + 16 = AB² + 4AB + 4
combine like terms:
4AB = 12
AB = 3
Answer:
p=5
Step-by-step explanation:
28-13=3p
15=3p
p=5