Question

If ∆ABC, if angle a is equal to angle B + angle c then the measure of angle a is

Answer 1

$\angle{A}$ = $\angle{B}$ + $\angle{C}$ .......(1)

As we know,

$\angle{A}$+$\angle{B}+$$\angle{C}$ = 180⁰ [angle sum property]

$\angle{B}$+$\angle{C}$ = 180⁰ - $\angle{A}$

Now, put above value of $\angle{B}$+$\angle{C}$ in the given equation i.e equ-----(1)

so,

$\angle{A}$ = $\angle{B}$+$\angle{C}$

$\angle{A}$ = 180⁰-$\angle{A}$

$\angle{A}$+$\angle{A}$ = 180⁰

2$\angle{A}$ = 180⁰

$\angle{A}$ = $\frac{{180}^{o}}{2}$

$\angle{A}$ = 90⁰ ..ans...

Answer 2

Answer:

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