Question

Q.1) If the angles of a triangle are in
the ratio 3:8:9, then their respective
degree measures are
O 27,72,81
O 32,70,78
O 24,64,92
O 14,12,14​

Answer 1

Total measures of the angles of a triangle = 180°

3 : 8 : 9 = 180°

$3x + 8x + 9x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ x = 6 \\ \\ 3x = 6 \times 3 = 18 \\ 8x = 6 \times 8 = 48 \\ 9x = 6 \times 9 = 54$

Hope It Helps

Answer 2

Answer:

Measure of angles of triangle is : $27$° , $72$° , $81$° .  

1 Option is correct  $27$° , $72$° , $81$° .

Step-by-step explanation:

To find : measure of angles .

Given : the angles of a triangle are in  the ratio $3:8:9$ .

Solution :

• As per given data we know that , the angles of a triangle are in  the ratio $3:8:9$ .
• Let ,$3x , 8x , 9x$ be the angles of triangle .
• According to angle sum property of triangle ,sum of measure of angles of triangle is $180$° .
• Then , according to angle sum property of triangle we have ,

       $3x + 8x +9x = 180\\\\20 x = 180\\\\ x= \frac{180}{20}\\\\x = 9$

• Now , substituting value of $x$ in  $3x , 8x , 9x$ to find measure of angles .
• $3x = 3\times 9 = 27$°
• $8x = 8\times 9 = 72$°
• $9x = 9\times9 = 81$°