What is the value of m∠1 to be if ∠1 and ∠2 are complementary angles and m∠2=85° ?(1 point)
°
If angles $\angle 1$ and $\angle 2$ are complementary, then the sum of their measures is $90^\circ$. Since $m\angle 2 = 85^\circ$, we can set up the equation $m\angle 1 + m\angle 2 = 90^\circ$ and substitute $85^\circ$ for $m\angle 2$. Solving for $m\angle 1$, we have \begin{align*}
m\angle 1 + 85^\circ &= 90 ^\circ \\
m\angle 1 &= 90^\circ - 85^\circ \\
m\angle 1 &= \boxed{5^\circ}.
\end{align*}
short answer: 5
Right, the value of $m\angle 1$ is 5.
Use the image to answer the question.
An illustration shows five points upper A, upper B, upper C, upper D, and upper E. Five rays from a common vertex at upper F connect the five points. The angles between them are labeled. The rays extend beyond the five points with an arrow on one side. The rays upper F upper A, upper F upper B, upper F upper C, upper F upper D, and upper F upper E extend through the points from upper F. The ray upper F upper A extends horizontally to the left of upper F. The ray upper F upper B extends vertically upward from upper F. The ray upper F upper C is inclined upward to the right of upper F. The ray upper F upper D extends horizontally to the right of upper F. The ray upper F upper E extends downward to the left of upper F. Angle upper A upper F upper B is marked with a right angle symbol and labeled 1. Angle upper B upper F upper C is labeled as 2. Angle upper C upper F upper D is labeled 3. Angle upper D upper F upper E is labeled 4. Angle upper E upper F upper A is labeled 5.
What two angles are complementary angles? List the smaller angle value first and the larger angle value second.
(1 point)
From the given information, we know that angle 1 is a right angle, which means it measures $90^\circ$. We are asked to find two complementary angles, which means their measures should add up to $90^\circ$. The only other angle given is angle 2, which is labeled between rays $FB$ and $FC$. However, we are not provided with its measure, so we cannot determine which angles are complementary. Therefore, the answer cannot be determined.
What two angles are complementary angles? List the smaller angle value first and the larger angle value second.
(1 point)
smaller ∠ 2 and larger ∠ 3