Find the remaining measures given the following values:Note: Figures are not drawn to scale.(all answer should be rounded to 2 d.p., if necessary)BA¯¯¯¯¯¯¯¯=𝐵𝐴¯= 23 CA¯¯¯¯¯¯¯¯=𝐶𝐴¯= 10 a) ∠α=a) ∠𝛼=  Answer for part 1∘∘b) ∠β=b) ∠𝛽=  Answer for part 2∘∘c) BC¯¯¯¯¯¯¯¯=c) 𝐵𝐶¯=Answer for part 3

Given that a circle has a radius of 7cm and an arc of length 9cm is subtended by a central angle 𝜃, find the measure of 𝜃 in degrees. Give your answer to 3 significant figures without the symbol ∘ or the word ‘degrees’.

Determine whether the measures  5⎯⎯√,5,   12⎯⎯⎯⎯√,12, and  13⎯⎯⎯⎯√13 can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. Justify your answer.Multiple choice question.A)yes, obtuse; (13⎯⎯⎯⎯√)2>(5⎯⎯√)2+(12⎯⎯⎯⎯√)2132>52+122 B)yes, right; (13⎯⎯⎯⎯√)2=(5⎯⎯√)2+(12⎯⎯⎯⎯√)2132=52+122 C)yes, acute; (13⎯⎯⎯⎯√)2<(5⎯⎯√)2+(12⎯⎯⎯⎯√)2132<52+122 D)no;  5⎯⎯√+12⎯⎯⎯⎯√<13⎯⎯⎯⎯√

In the figure below, 𝐴𝐵― is parallel to 𝐷𝐸―, the measure of ∠𝐴𝐵𝐶 is 49°, and the measure of ∠𝐵𝐶𝐷 is 137°. What is the measure of ∠𝐶𝐷𝐸 ?

The sum of the measures of ∠𝐴 and ∠𝐵 is 90∘. The sum of the measures of ∠𝐴 and ∠𝐶 is 180∘. The sum of the measures of ∠𝐵 and ∠𝐷 is 180∘. What is the sum of the measures of ∠𝐶 and

In parallelogram ABCD below, the measure of ∠BCD is 98° and the measure of ∠CDB is 38°. What is the measure of ∠BDA ?