Question

1. sana drew the angle shown. riley draws an angle that is \\(\frac{11}{5}\\) the measure of sana’s angle.\

a. is the measure of riley’s angle greater than or less than the\
measure of sana’s angle? how do you know?\
b. what is the measure of riley’s angle?\
(there is an image of a 45° angle on the right side of the text.)

Explanation:

Step1: Identify Sana's angle measure

Sana's angle is 45°.

Step2: Compare multiplier to 1

Riley’s angle = $\frac{11}{5} \times$ Sana’s angle. $\frac{11}{5}=2.2>1$, so Riley’s angle is greater.

Step3: Calculate Riley’s angle

Multiply 45° by $\frac{11}{5}$: $45 \times \frac{11}{5} = 9 \times 11 = 99$.

Answer:

a. Greater than; because $\frac{11}{5}>1$.
b. 99°