Question

how can we find the value of X
please answer fast.....​

Answer 1

$\star \framebox{\large ANSWER:}$

Notice that AB=AC. Thus, ΔABC is an isosceles triangle.

We know that in an isosceles triangle, the angles opposite to the equal sides are equal. So, ∠BAC=∠BCA.

Now, use angle sum property:

∠CBA+∠BAC+∠BCA=180°

90°+∠BAC+∠BAC=180°  [We know ∠BCA=∠BAC]

2∠BAC=90°

∠BAC=45°

Now, use linear pair.

∠BAC+x=180°

45+x=180°

x=(180-45)°

x=135°.

$\framebox[1.1\width]{x=135 degrees }$

$\framebox{\huge HOPE THIS HELPS :D}$

Answer 2

Answer:

135 deg

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Step-by-step explanation:

we can solve this using the following properties:

• the sum of all the interior angles of a triangle is 180 deg
• two sides are equal in a triangle means that the corresponding angles are also equal (in this case, A and C)
• the sum of the supplementary angles is 180 deg

according to this info, we can say that: angles A and C are 45 deg each because:

A = C

A + B + C = 180 deg

A + A + 90 = 180 deg

2A = 180 - 90  deg

A = 90/2 deg

A = 45 deg

A = C = 45 deg

we can say that A = 45 deg

and since x and A are supplementary, their sum is 180 deg.

x + A = 180 deg

x + 45 = 180 deg

x = 180 - 45 deg

x = 135 deg