Answer :
An obtuse angle is over 90 degrees.
So,
All the angles of a triangle add up to 180 degrees.
180-30= 150
The obtuse angle has to be over 90, so the smallest it can be is 91 degrees.
150-91= 59
The largest angle Z can be is 59 degrees.
I hope this helps!
~kaikers
So,
All the angles of a triangle add up to 180 degrees.
180-30= 150
The obtuse angle has to be over 90, so the smallest it can be is 91 degrees.
150-91= 59
The largest angle Z can be is 59 degrees.
I hope this helps!
~kaikers
Answer:
3 angles: 180°, angle y is 91°, ∠Z is 59°
Explanation:
An obtuse angle is an angle whose measure is greater than 90°, but less than 180°.
Write an equation.
m∠X + m∠Y + m∠Z = 180° The sum of the angle measures in a triangle is 180°.
30° + 91° + m∠Z = 180° Substitute values. The least possible measure that obtuse angle Y can have is 91°.
Solve the equation to find m∠Z.
30° + 91° + m∠Z = 180° 132° + m∠Z = 180° Combine like terms.
− 132° − 132° Subtract 132° from both sides. m∠Z = 59°
The greatest possible measure of ∠Z is 59°.