The 7th graders at GCA are preparing for an outing at Stone Mountain Park
1 answer:
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Answer:
A. 44º
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180 degrees, whereas the sum for a square is equal to 360 degrees. Given that three triangles depicted on figure constructs a square, it is to conclude that each is an isosceles triangle. The following relations are presented:
1) Given
2) ,
Given
3) Given.
4) Given.
5) Given.
6) 2) in 3)
7) Algebra
8) By 2)
9) Alternate internior angles.
10) By 8). Result
Hence, the answer is A.
Answer:
The answer is -0.715
Step-by-step explanation:
Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.
Then, we can use the property logarithm power rule:
So,
Finally, the value of , therefore:
Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
<h3>What are Angles on a Straight Line?</h3>Angles found on a straight line equals 180 degrees.
<h3>What area Vertcial Angles?</h3>Vertical angles are congruent angles that lie directly opposite each other.
Second Row:
m∠LGK = 45° (given in the diagram)
m∠IGH = 35° (given in the table)
m∠KGJ = m∠IGH (vertical angles)
m∠KGJ = 35°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 35 = 145°
m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)
m∠HGL = 180 - 45 - 35 = 100°
Third Row:
m∠LGK = 45° (given in the diagram)
m∠HGL = 97° (given in the table)
m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)
m∠KGL= 180 - 97 - 45 = 38°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 38 = 142°
m∠IGH = m∠KGL (vertical angles)
m∠IGH = 38°
Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
Learn more about straight line and vertical angles on:
