in a tringal ABC 'ANGLE A - angle b =15 OR ANGLE B-ANGLE C =30
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Answered by
1
angle A - angle B=15°,
then
angle A=15°+angle B,
also
angle B - angle C=30°,
then
angle C = angle B - 30°,
hence
angle A + angle B + angle C =180°,
then
(15°+ angle B) + angle B + (angle B - 30°)=180°,
3× angle B - 15° =180°,
3 × angle B =180°+15°,
3×angle B=195°,
then
angle B=195°/3 = 65°,
hence
angle A=15°+65°=80°,
angle C=65°-30°=35°
then
angle A=15°+angle B,
also
angle B - angle C=30°,
then
angle C = angle B - 30°,
hence
angle A + angle B + angle C =180°,
then
(15°+ angle B) + angle B + (angle B - 30°)=180°,
3× angle B - 15° =180°,
3 × angle B =180°+15°,
3×angle B=195°,
then
angle B=195°/3 = 65°,
hence
angle A=15°+65°=80°,
angle C=65°-30°=35°
kamal9933:
find the measurements of each angle
Answered by
1
given a triangle abc
<a-<b=15 or <a=15+<b ----1
<b-<c=30 or <c=<b-30-----2
we know that sum of interior angles of tringles are 180
<a+<b+<c=180------3
put above values in =en 3--,we get
15+<b+<b+<b-30=180
3<b-15=180
3<b=180+15
<b=195/3
<b=65 deg
now <a=15+<b <a= 15+65 <a=80deg
<c=<b-30 <c=65-30 <c=35deg
check a+b+c=180
80+65+35=180
180=180
thnx dude may be its usefull
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