Step-by-step explanation:
The sum of complementary angles is 90°,
Let 1st be 30x then other is 5x,
30x+5x=90°
➡️ 35x=90°
➡️ x=90°/35=(18/7)°
THUS THE FIRST ANGLE =30*18/7=540/7°
AND SECOND =5*18/7=90/7°
15 more than half a number would be 1/2x (or whichever variable) plus 15
Method 1:
Look at the picture.
is greater than
Method 2:
Find the common denominator:
multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
multiples of 9: 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
63 = 7 · 9
therefore
<u>Explanation</u><u>:</u><u>-</u>
We have given measure of angles of the triangle are in ratio 4 : 7 : 9 and here we need to find the measure of largest angle of a ∆.
Let, the three angles of a triangle be 4x, 7x, 9x.
We know that, Sum of all angles of a triangle is 180°.
4x + 7x + 9x = 180°
⇛20x = 180°
⇛x = 180°:20
⇛x = 9°
Now, finding largest angle by putting the value of “x”
- 4x = 4(9) = 36°
- 7x = 7(9) = 63°
- 9x = 9(9) = 81°
Hence ,the measure of largest angle is 81°.
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