IDNStudy.com, ang platform na nag-uugnay ng mga tanong sa mga solusyon. Sumali sa aming platform ng tanong at sagot upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

24. In a quadrilateral LMNO, m<2x -20, and m<M = 2x + 100 , calculate m<N
a. 25
b. 150
c. 40
d. 30​

Sagot :

Given:

m∠N = 2x - 20

m∠M = 2x + 100

calculate m∠N

For any quadrilateral, consecutive angles are supplementary.

so,

∠M + ∠N = 180°

solve for the equation to find x,

∠M + ∠N = 180°

(2x + 100) + (2x - 20) = 180

4x + 80 = 180

4x = 180 - 80

4x = 100

x = 100/4

x = 25

solve for m∠N using the value of x,

m∠N = 2x - 20

m∠N = 2(25) - 20

m∠N = 50 - 20

m∠N = 30°

Hence the the answer is letter d. 30

≧◠‿◠≦✌

✓✓✓ Press that brainliest button if this was helpful. ✓✓✓

• • •  Follow for more math solutions and fun facts! • • •