# Two supplementary angles are in the ratio 4: 5. Find the angles?

Question:

Two supplementary angles are in the ratio 4: 5. Find the angles?

Solution:

Supplementary angles are in the ratio 4: 5

Let the angles be 4x and 5x

It is given that they are supplementary angles

Hence 4x + 5x = 180

9x = 180

x = 20

Hence, 4x = 4 (20) = 80

5(x) = 5 (20) = 100

Hence, angles are 80 and 100
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.esaral.com/q/two-supplementary-angles-are-in-the-ratio-4-5-find-the-angles-23866", "fetch_time": 1726843128000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2024-38/segments/1725700652278.82/warc/CC-MAIN-20240920122604-20240920152604-00569.warc.gz", "warc_record_offset": 682737382, "warc_record_length": 11439, "token_count": 137, "char_count": 390, "score": 4.3125, "int_score": 4, "crawl": "CC-MAIN-2024-38", "snapshot_type": "latest", "language": "en", "language_score": 0.9315235614776611, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00006-of-00064.parquet"}