A triangle has angle measures of 42°, 51°, and #x#°. What is #x#?

1 Answer
Jan 27, 2016

#x=87#

Explanation:

The measure of three angles of the given triangle are #42^@#, #51^@# and #x^@#.

We know that the sum of all the angles of any triangle is #180^@#

#implies 42^@+51^@+x^@=180^@#

#implies x^@=180^@-(42^@+51^@)=180^@-93^@=87^@#

#implies x^@=87^@#

#implies x=87#