(a) The measure of the indicated angle for figure 1 is 48⁰.
(b) The measure of the indicated angle for figure 2 is 42⁰.
<h3>What is Angles?</h3>
An angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.
The measure of the indicated angles can be calculated as follows;
Figure 1
sinθ = Perpendicular / hypotenuse
sinθ = 72/97
sinθ = 0.7423
θ = sin⁻¹(0.7423)
θ = 47.9⁰ ≈ 48⁰
Figure 2
sinθ = 65/97
sinθ = 0.6701
θ = sin⁻¹(0.6701)
θ = 42.1⁰ ≈ 42⁰
Thus, (a) The measure of the indicated angle for figure 1 is 48⁰.
(b) The measure of the indicated angle for figure 2 is 42⁰.
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