Question

find the value of unknown interior angle x in the following figure​

Answer 1

Step-by-step explanation:

Sum of all the angles of triangle isnof 180⁰

exterior angle is equal to the sum of the two opposite interior angles.

THEREFORE;

$x + {90}^{0} = {130}^{0} \\ \\ x = {130}^{0} - {90}^{0} \\ \\ x = {40}^{0}$

HENCE THE VALUE OF THE X IS 40⁰

Answer 2

Answer:

Step-sp explanation:

We know that sum of all the angles of triangle is 180⁰

GIVEN:-

⇒IT's given that the it's an right angle triangle, since one of its angles is 90⁰

⇒Also we are given the exterior angle i.e. of 130⁰

And we know that exterior angle is equal to the sum of the interior opposite angles.

$∠A + ∠B = 130⁰ \\90⁰ + x = 130⁰ \\x = 130⁰ - 90⁰\\X = 40⁰$∠A + ∠B = 130⁰

⇒Hence the value of the x is 40⁰

Please mark it BRAINLIEST.

Hope this helps you