Question

Angle Terminology with Equations
Aug 03, 8:18:32 AM
?
ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
EN O
Answer:
Submit Answer
attempt 1 out of 2
Pls help

Answer 1

If both are complementary then their sum will be 90°

$\\ \sf\longmapsto m<A+m<B=90$

$\\ \sf\longmapsto 2x-10+x-2=90$

$\\ \sf\longmapsto 2x+x-10-2=90$

$\\ \sf\longmapsto 3x-12=90$

$\\ \sf\longmapsto 3x=90+12$

$\\ \sf\longmapsto 3x=102$

$\\ \sf\longmapsto x=\dfrac{102}{3}$

$\\ \sf\longmapsto x=34$

Now

$\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58$