Question

In the following figure, the measure of ∠A is

Answer 1

✔hope this helps✔

            ∠$AB=120$  °{given}

              ∠$AC=120$ °{given}

✨∠$AB$+∠$ABC$=180°

120°+∠$ABC$=180°

∠$ABC$=60°

✨∠$AC$+∠$ACB$=180°

120°+∠$ACB$=180°

∠$ACB$=60°

                                      ∴∠$A=60$°{equilateral Δ}

Answer 2

Given:

To find the measure of ∠A -

Solution:

Know that the sum of the interior angle angle of a triangle is $\[180^\circ \]$.

From the given figure,

$\[\begin{array}{l} \Rightarrow \angle A + \angle B + \angle C = 180^\circ \\ \Rightarrow \angle A + \left( {180^\circ - 120^\circ } \right) + \left( {180^\circ - 120^\circ } \right) = 180^\circ \\ \Rightarrow \angle A + 60^\circ + 60^\circ = 180^\circ \\ \Rightarrow \angle A = 180^\circ - 120^\circ \\ \Rightarrow \angle A = 60^\circ \end{array}\]$

Hence the the measure of ∠A is $\[60^\circ \]$.