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Contact [7]
3 years ago
9

In the diagram below line l is parallel to line m which angles are congruent to angle 1 ​

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

ANSWER

\angle1   \cong \angle3

\angle1   \cong \angle8

\angle1   \cong \angle6

EXPLANATION

Since line l is parallel to line m,

\angle1   \cong \angle3

because the two angles are vertically opposite angles.

\angle1   \cong \angle8

because the two angles are corresponding angles.

\angle1   \cong \angle6

because the two angles are alternate exterior angles.

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Ben spent 9 dollars

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Help help help pls :)
kykrilka [37]

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opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

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Inverse operations,

tan(35)=\frac{opposite}{100}

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