The figure shows secants LH and LI and tangent JK intersecting at point L. HIL is a right triangle. Find the measure of KLI and the measure of LI.

A. KLI=32
LI=32
B. KLI= 32
LI=64
C. KLI=64
LI=64
D. KLI=64
LI=128

Question

13-06-2018
Mathematics

contestada

The figure shows secants LH and LI and tangent JK intersecting at point L. HIL is a right triangle. Find the measure of KLI and the measure of LI.

A. KLI=32
LI=32
B. KLI= 32
LI=64
C. KLI=64
LI=64
D. KLI=64
LI=128

Respuesta :

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calculista calculista · Answer 1 · 2018-06-26T23:05:13+02:00

calculista calculista

26-06-2018

the picture in the attached figure

we know that
The inscribed angle measures half of the arc it comprises
so
∠ GHL=(1/2)*[arc LI]
∠ GHL=32°
32°=(1/2)*arc LI
arc LI=32°*2-------> arc LI=64°

∠KLI=(1/2)*[arc LI]-----> ∠KLI=(1/2)*64°-----> ∠KLI=32°

the answer is the option
B. KLI= 32
LI=64

Answer Link

goldfox12 goldfox12 · Answer 2 · 2021-01-28T17:42:14+01:00

goldfox12 goldfox12

28-01-2021

Answer:

B. KLI= 32

LI=64

Step-by-step explanation:

Answer Link

The figure shows secants LH and LI and tangent JK intersecting at point L. HIL is a right triangle. Find the measure of KLI and the measure of LI. A. KLI=32 LI=32 B. KLI= 32 LI=64 C. KLI=64 LI=64 D. KLI=64 LI=128

Respuesta :

Otras preguntas

The figure shows secants LH and LI and tangent JK intersecting at point L. HIL is a right triangle. Find the measure of KLI and the measure of LI.

A. KLI=32
LI=32
B. KLI= 32
LI=64
C. KLI=64
LI=64
D. KLI=64
LI=128