Question

K2. Find the measures of angles ZA = (2x + 3) and
ZB = (2x - 3), if their sum is 120°.​

Answer 1

Step-by-step explanation:

Given,

<A = (2x + 3) => 1

<B = (2x - 3) => 2

<A + <B = 120°

Solution,

<A+<B = 120° ( Given)

Substitute <A & <B in the above equation

=> (2x+3) + (2x-3) =120

=> 4x = 120

=> x = 30

Substitute 'x' in 1 & 2

=> <A = (2×30 + 3)

= (60+3)

= 63°

=> <B = (2×30 - 3)

= (60 - 3)

= 57°

☆ Measure of <A = 63° & <B = 57°.