By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
Given that, a║b and both the lines are intersected by transversal t.
We need to prove that m∠1=m∠5.
<h3>What is a transversal?</h3>
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
m∠1+m∠3= 180° (Linear Pair Theorem)
m∠5+m∠6=180° (Linear Pair Theorem)
m∠1+m∠3=m∠5+m∠6
m∠3=m∠6
m∠1=m∠5 (Subtraction Property of Equality)
Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
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The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.
Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.
∠P = ∠S = 59°
∠S + ∠T + ∠U = 180° (sum of angles in a triangle)
59 + 75 + ∠U = 180°
134 + ∠U = 180°
∠U = 46°
∠U = ∠R = 46°
∠Q = ∠T = 75°
Also, for the sides:
ST = PQ = 7 m
SU = PR = 8 m
Answer:
D - All rational numbers are integers.
Step-by-step explanation:
This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.
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Answer:
12 in.
Step-by-step explanation:
The perimeter is calculated by adding all up the sides of a shape. In this case, the shape is a square, considering that all the sides are the same measurements. 3+3+3+3 can be simplified to 3x4. This gives you 12 in. as the perimeter.
