Question

In the adjoining figure, the measure of angleA is__? please solve step by step

(1) 54°
(3) 72
(2) 36°
(4) 75°​

Answer 1

Let x = y

Let x = ythen x=y=72

Let x = ythen x=y=72then 180 - 144 = 36

Let x = ythen x=y=72then 180 - 144 = 36PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

In BOC,

<OBC + <BCO + <BOC = 180° { SUM OF ANGLES OF TRIANGLE BEING 180°}

Or, x + y + 108° = 180°

Or, x + y = 180° - 108°

Therfore, x + y = 72°

Now, In ABC,

<BAC + <ABC + <BCA = 180° { SUM OF ANGLES OF TRIANGLE BEING 180°}

Or, <BAC + (x + x) + (y+y) =180°

Or, <BAC + 2x + 2y = 180°

Or, <BAC + 2(x+y) = 180°

Or, <BAC + 2×72° = 180° { putting value of x + y = 72° from above ones}

Or, <BAC + 144° = 180°

Or, <BAC = 180° - 144°

Therfore, <BAC = 36° which is required value of its.