Question

3.The angles of a quadrilateral are in the ratio 3:5:7:9. Find the measure of each of these angles.
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Answer 1

Answer:

45°, 75°, 105°, 135°

Step-by-step explanation:

Let the ratio be 3x : 5x : 7x : 9x.

According to the angle sum property, the sum of all four angles of quadrilateral is 360°.

=> 3x + 5x + 7x + 9x = 360°

=> 24x = 360°

=> x = 360/24

=> x = 15

Hence, first angle = 3×15° = 45°

Second angle = 5×15° = 75°

Third angle = 7×15° = 105°

Fourth angle = 9×15° = 135°

Answer 2

$\huge\underbrace\mathcal\pink{ANSWER♡}$

$\bf\underline{\underline{\pink{GIVEN :}}}$

• Ratio = 3:5:7:9

$\bf\underline{\underline{\pink{TO FIND :}}}$

• The measure of each of the angles of a quadrilateral.

$\bf\underline{\underline{\pink{SOLUTION :}}}$

Let the ratio = 3x, 5x, 7x, 9x

We know that the sum of the angles of quadrilateral is 360°.

3x + 5x + 7x + 9x = 360°

→ 24x = 360°

→ x = 360/24

→ x = 15

Now put the value of x,

→ 3 × 15 = 45°

→ 5 × 15 = 75°

→ 7 × 15 = 105°

→ 9 × 15 = 135°

Therefore, the angles of the quadrilateral are 45°, 75°, 105° & 135°.

Hope it Helps Buddy ❤️