Question
Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:
If m∠6 = 27, then m∠1 =?
- 27
- 30
- 37
- 47
Hint:
They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.
The correct answer is: 27
According to the congruent complements theorem, if two angles are complementary to the same angle (or to congruent angles), then they are congruent.
m∠6 and ∠7 are complementary and m∠7, and m∠1 are complementary, so m∠1 and m∠6 are congruent angles.
m∠1 = 27.
Hence, the correct option is A.
Vertical angles are formed when two lines meet each other at a point.
Related Questions to study
Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:
if m∠ BHF = 115, then m∠3 =?
Vertical angles are formed when two lines meet each other at a point.
Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:
if m∠ BHF = 115, then m∠3 =?
Vertical angles are formed when two lines meet each other at a point.
Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:
If m∠3 = 30, then m∠6 =?
Vertical angles are formed when two lines meet each other at a point.
Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:
If m∠3 = 30, then m∠6 =?
Vertical angles are formed when two lines meet each other at a point.
In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.
Vertical angles are formed when two lines meet each other at a point.
In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.
Vertical angles are formed when two lines meet each other at a point.
Where do planes AGE, GHI, and JIE intersect?
There are infinite number of lines in a plane.
Where do planes AGE, GHI, and JIE intersect?
There are infinite number of lines in a plane.
Where do plane ACH and plane GFE intersect?
Where do plane ACH and plane GFE intersect?
Name a point that is coplanar with A, E, and J.
A plane has infinite number of lines and points. All the points in a plane are called coplanar.
Name a point that is coplanar with A, E, and J.
A plane has infinite number of lines and points. All the points in a plane are called coplanar.
Use the diagram to tell if the statement is true or false.
∠NKL and ∠JKM are vertical angles.
Vertical angles are angles opposite each other where two lines cross.
Use the diagram to tell if the statement is true or false.
∠NKL and ∠JKM are vertical angles.
Vertical angles are angles opposite each other where two lines cross.
Use the diagram to tell if the statement is true or false.
Two points are said to intersect if a have a common point.
Use the diagram to tell if the statement is true or false.
Two points are said to intersect if a have a common point.
