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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.
brainly.com/question/15767203
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Answer:
lateral area = 2320 m²
Step-by-step explanation:
The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.
Half of the square base is 40/2 = 20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.
Using Pythagoras's theorem
c² = a² + b²
c² = 20² + 21²
c² = 400 + 441
c² = 841
square root both sides
c = √841
c = 29 meters
The slant height of the pyramid is 29 meters.
The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.
area of triangle = 1/2 × base × height
base = 40 meters
height = 29 meters
area = 1/2 × 40 × 29
area = 580
area of one triangle = 580 m²
Lateral area = 4(580)
lateral area = 2320 m²
