Question

HELP ME OUT!

What is the measure of angle A?

A.) 50 degrees
B.) 40 degrees
C.) 45 degrees
D.) 55 degrees

Answer 1

To find:-

The measure of angle A.

Solution:-

`{\boxed{\mathcal{\red{B.\:Angle\: A \:=\: 40° \:}}}}`✅

Step-by-step Step-by-step explanation:-

We know that,

`\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}`

➪ 90° + x + 51 + x + 41 = 180° ( 90° since it is a right-angled triangle )

➪ 2 x + 182° = 180°

➪ 2 x = 180° - 182°

➪ x =
`( - 2)/(2)`

➪ x = -1°

Now,

Measure of angle A = x + 41

= (-1°) + 41

= 40°

`\sf\red{Therefore, \:the\: measure\:of \:∠\: A\: is \:40°.}`

To verify:-

90° + (-1°) + 41 + (-1°) + 51 = 180°

✒ 182°- 2°= 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

`\boxed{Hence\:verified.}`

`\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆`