Question

the figure above, what is the measure of angle A?
(need solution step by step )​

Answer 1

Answer:

Given: A= 8X, B=7X, C=9X

Step-by-step explanation:

According to ASP = A+B+C= 180°

So,

9X+8X+7X=180°

24X=180°

X=7.5

Angle A= 8×7.5=60°

Hope its help

Answer 2

Step-by-step explanation:

$\huge\color{blue}\boxed{\colorbox{cyan}{Answer:→}}$

${\bold{\sf{According \: to \: angle \: sum \: theory \: of \: triangle}}}$

${\bold{\bf{\fbox{\red{Sum of all angles of triangle is 180°}}}}}$

${\bold{\sf{\underline{Therefore \: in \: triangle \: ABC \: ,}}}}$

${\bold{\sf{→ \: 7x \: + \: 8x \: + \: 9x \: = \: 180°}}}$

${\bold{\sf{→ \: 24x \: = \: 180°}}}$

${\bold{\sf{→ \: x \: = \: \frac{180}{24}}}}$

${\bold{\sf{→x \: = \: 7.5°}}}$

$\\ {\bold{\sf{\orange{Let's \: put \: the \: value \: of \: x \: in \: 7x, \: 8x \: and \: 9x}}}}$

${\bold{\sf{7x \: = \: 7×7.5}}}$

${\bold{\sf{→ \: 52.5°}}}$

${\bold{\sf{8x \: = \: 8 \: × \: 7.5}}}$

${\bold{\sf{→ \: 60°}}}$

${\bold{\sf{9x \: = \: 9 \: × \: 7.5}}}$

${\bold{\sf{→ \: 67.5°}}}$

$\\ {\large{\sf{Let's \: verify \: the \: answer:-}}}$

${\bold{\sf{We \: know \: that \: sum \: of \: all \: angle \: of \: triangle \: is \: 180°}}}$

${\bold{\sf{→ \: 53.5° \: + \: 60° \: + \: 67.5°}}}$

${\bold{\sf{→ \: 180°}}}$

$\\ {\bold{\sf{Thus,}}}$

${\bold{\sf{→ \: Angle \: A \: is \: 60°}}}$

${\bold{\sf{→ \: Angle \: B \: is \: 52.5°}}}$

${\bold{\sf{→ \: Angle \: C \: is \: 67.5°}}}$

${\large{\sf{\fbox{\red{I hope now you can understand the question in a better way}}}}}$