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Phantasy [73]
2 years ago
8

Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles​

Mathematics
1 answer:
zalisa [80]2 years ago
8 0

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

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3 years ago
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
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Answer:

Equation 1 = Equation 2

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Step-by-step explanation:

Let x represent the number of 30-day periods.

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Therefore the equation =

$165 -$4 × x

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x = 20/0.5

x = 40

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