The angle mMHJ is equal to 50°. The correct option is B.
What is a vertical angle?
The opposing angles formed when two lines cross. They are constantly equal. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
∠MHJ and ∠LHK are vertical angles, first, calculate the value of x that equates to two vertically opposite angles.
It is given that two lines MK and JL are crossing each other at point H. Angles ∠MHJ and ∠LHK are ( 2x - 20 )° and ( x + 15 )° respectively. Equate the angles to calculate the value of x.
∠MHJ = ∠LHK
( 2x - 20 )° = ( x + 15 )°
Solve the equation to get the value of x.
( 2x - x ) = 15 + 20
( x ) = 35°
The value of the angle mMHJ is calculated as:-
∠MHJ = ( 2x - 20 )°
Put x = 35 in the above equation.
∠MHJ = ( 2 x 35 ) - 20
∠MHJ = 70 - 20
∠MHJ = 50°
Therefore, the angle mMHJ is equal to 50°. The correct option is B.
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