Which statement is true about angles 3 and 5?
2 answers:
Answer:
<h2>They are supplementary.</h2>Step-by-step explanation:
As you can observe in the image attached, angle 1 and 5 are congruent because they are corresponding angles which are always congruent.
However, notice that inside the parallels there are several triangles, there we have alternate interior angles and same-side interior angles.
It's importatnt to know that alternate interior angles are always congruent like angles 4 and 5 or 3 and 6.
But, angles 3 and 5 are same-side interior angles, which always sum 180°, that is, they are supplementary.
Therefore, the correct answer is the last choice.
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u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒
⇒
⇒
⇒
⇒ u = 10.4
Hence, u = 10.4 and v = 12.