Angle math Hw. Pls help
2 answers:
Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
<h3>Image:</h3>
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The volume of a triangular prism is equal to :
area of the base x height
the area of the base :
so the volume is
the answer is 160m^3
good luck
area of the base x height
the area of the base :
so the volume is
the answer is 160m^3
good luck
<u>Answer:</u>
A building makes a angle with the ground .The two interior angles are
and
<u>Solution: </u>
Given, a ladder which is against the building wall makes an exterior angle of
And building makes a angle with the ground.
So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.
Now, we know that, sum of exterior angles and interior angles equals to
Here, in the case of ground and ladder, exterior angle is and interior angle is unknown.
Exterior angle + interior angle = 180
110 + interior angle = 180
Interior angle = 180 – 110
Interior angle =
We have found one of the two interior angles of right angle triangle.
We know that, sum of angles in a triangle is 180 degree
Known Interior angle + unknown interior angle + right angle = 180
70 + unknown interior angle + 90 = 180
Unknown interior angle + 160 = 180
Unknown interior angle = 180 - 160
Unknown interior angle =
Hence the two interior angles are and
Answer:
∠EGB and ∠AGF are congruent;
Transitive Property of Equality
Step-by-step explanation:
The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other
Vertical angles are congruent i.e their measures are equal
Look at the attached graph
Given:
AB // CD
E , G , H , F are col-linear
The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD
∵ AB and EF intersected at point G
∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem
When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent ( vertical angle theorem)
∵ AB // CD and EF is a transversal
∴ m∠AGF = m∠CHF (corresponding angles theorem)
Transitive Property of Equality: if one angle is equal to two other angles, then the two other angles are equal
Therefore, If a = b and b = c, then a = c
∵ m∠EGB = m∠AGF
∵ m∠AGF = m∠CHF
∴ m∠EGB = m∠CHF (transitive property theorem)
∠EGB and ∠AGF are congruent; Transitive Property of Equality
