Angle 1 and angle 3 are vertically opposite angles. And both angles are congruent with each other.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Line L and line M intersect each other.
Angle 1 and angle 2 are supplementary angles.
∠1 + ∠2 = 180° ...1
Angle 2 and angle 3 are supplementary angles.
∠2 + ∠3 = 180° ...2
From equations 1 and 2, then we have
∠1 + ∠2 = ∠2 + ∠3
∠1 = ∠3
The vertically opposite angles are angle 1 and angle 3. Furthermore, the two angles line up perfectly.
More about the angled link is given below.
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Answer:
Reason:
1) assumptions given
2) RUTS is a rectangle
3) RUTS is a rectangle
4) because:
+) ∠STU and ∠SRU are the right angles
+) RU = ST; UT = RS
=> ΔURS ≅ ΔSTU (SAS)
5) because ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT
Step-by-step explanation:
Answer:
Step-by-step explanation:
d = 3/2
a₂₀ = a₁+19d
35/2 = a₁ + 19×3/2
a₁ = 35/2 - 19×3/2 = -11
a₁₅ = a₁+14d = -11 + 14×3/2 = 10
