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Mathematics 17 Online
OpenStudy (anonymous):

HELP I WILL FAN AND MEDAL The measures of two angles of a triangle are 36° and 71°. Find the measure of the third angle, and classify the triangle according to its angles. A. 199°, acute B. 199°, right C. 73°, acute D. 73°, right

OpenStudy (muzzack):

well we know that a triangle has 180 degrees right?

OpenStudy (rational):

hint : you dont need to do any calculations for this problem

OpenStudy (rational):

use this : sum of angles in a triangle is 180

OpenStudy (solomonzelman):

\(\large\color{blue}{ \rm 180-(71+36)=?}\)

OpenStudy (muzzack):

so what we do to find out is the total sum of the two degrees and determine if it shoter than 90 = acute, larger than 90 = obtuse, and is 90 = right triangle

OpenStudy (anonymous):

just for description...this is ridiculously easy ...sum of angles should be 180..sum of these two becomes 36+71=107...okay...now do 180-107

OpenStudy (rational):

In light of that information, which two options you can strike off ?

OpenStudy (anonymous):

OK

OpenStudy (anonymous):

you can easily write off three wrong answers...

OpenStudy (muzzack):

add \[36 + 71\]

OpenStudy (muzzack):

then subtract 180 and then determine if it shoter than 90 = acute, larger than 90 = obtuse, and is 90 = right triangle

OpenStudy (anonymous):

that equal 73

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (muzzack):

so obviously it is not A or B

OpenStudy (anonymous):

B and D gone as for a right triangle 90 degree is a must...A gone because in a triangle you cant have 199 degree

OpenStudy (anonymous):

107 @Muzzack

OpenStudy (muzzack):

this is C

OpenStudy (muzzack):

yes now 180 - 107

OpenStudy (anonymous):

so C

OpenStudy (anonymous):

i think C

OpenStudy (anonymous):

so im right

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