Question

One angle of a triangle is 75° and the other two are in the ratio 7 : 8. Find the

other two angles.​

Answer 1

GivEn:-

• Measure of one angle of triangle is 75°.
• Other two angles are in ratio 7:8.

To FinD:-

• Measure of other two angles.

Solution:-

Let the ratio be 'x'

According to angle sum property:-

$\qquad \boxed{75 + 7x + 8x = 180 \degree} \\ \\ \Longrightarrow75 + 15x = 180 \degree \\ \\ \longrightarrow15x = 180 - 75 \\ \\ \Longrightarrow15x = 105 \degree \\ \\ \longrightarrow \frac{105}{15} = x \\ \\ \Longrightarrow \: x = 7$

Now,Measure of other two angles:-

$\boxed{x = 7} \\ \\ \boxed{angles = 7x \ratio8x} \\ \\ \Longrightarrow7 \times 7 \ratio7 \times 8 \\ \\\Longrightarrow 49 \ratio56$

Hence,The measure of other two angles of triangle are 49° and 56°.

Answer 2

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Answer refers to the attachment

Hope it helps