Question

Please help me ASAP

Answer 1

109

Explanation:

the sum of 37 and 72 is equal to x

proof:

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109 = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=> 37+72 = x

=> 109 = 109 [ 37+72 = 109, x = 109]

hope this helps :)

Answer 2

• Option D is correct answer that is 109° .

Explanation:

Question : -

Find the value of x in this triangle .

Given : -

• Angle 1 = 37°

• Angle 2 = 72°

• Angle 3 = y° ( We are assuming it as y )

• Angle 4 = x°

To Find : -

• We have to find the value of x .

Solution : -

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

• Angle 1 + Angle 2 + Angle 3 = 180°

• 37° + 72° + Angle 3 = 180°

• 109° + Angle 3 = 180°

• Angle 3 = 180° - 109°

• Angle 3 = 71°

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

• Angle 3 ( y )+ Angle 4 ( x ) = 180°

• 71° + x° = 180°

• x° = 180° - 71°

• x° = 109°

Therefore , value of Angle x is 109° .

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