Question

The angles of quadrilateral are in the ratio 1:2:3:4. find
the measures of its four angles.

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Answer 1

Answer:

18,36,54,72

Step-by-step explanation:

I hope this helps

Answer 2

Given:

Ratio of the four angles : 1:2:3:4

To Find:

Measurement of the four angles of the quadrilateral

Solution:

Let the measure of the four angles be x, 2x, 3x, 4x

We know that,

sum of all measure of all four angle = 360°

∴x + 2x + 3x + 4x = 360°∴x+2x+3x+4x=360°

$⟹10x = 360°$

$⟹x = 36°⟹x=36°$

$⟹2x = 2 \times 36 °= 72°$

$⟹3x = 3 \times 36° = 108°$

$⟹4x = 4 \times 36 °= 144°$

Hence:

The measure of the four angles of the quadrilateral are 36°,72°,108° and 144°